Your 'Canon' Inquisitor you'll be taking to DA4 and why they're Canon for you.

Danae Lavellan
Class: Mage (Knight-Enchanter)
Romance: Cullen

The Wrath of Heaven: Fully cooperated with Cassandra. She chose the mountain path, hoping to find the lost squad of soldiers. Denied being chosen by Andraste.

In Hushed Whispers: Formed an alliance with the mages.

In Your Heart Shall Burn: Managed to help Harritt and rescued all the townspeople. Her conversation with Mother Giselle confirms her non-belief, at least until she learns of Ameridan and begins to emulate him.

'I will lead us against Corypheus and I will be an ambassador. I'm an elf standing for Thedas. The Inquisition is for all.'

Here Lies the Abyss: Recruited Jana. Cleared all the siege points at the battlements, had Hawke protect the troops and thus stay behind to hold the battlements. Convinced some of the Grey Wardens not to fight. Completed all five riddles in the Fears of the Dreamers quest. Decided that Stroud would be the one to remain in the Fade, and had the Wardens join the Inquisition.

Wicked Eyes and Wicked Hearts: She had Florianne arrested at the conclusion, sparing everyone further bloodshed. Celene and Briala were reunited. Gaspard was executed.

What Pride Had Wrought: All the temple rituals were performed and an alliance with Abelas was accepted. Morrigan drank from the Well of Sorrows. (Danae came close to drinking it herself, but Morrigan persuaded her out of it by reminding her that as Inquisitor, she couldn't afford to take that risk.)

The Final Piece: Flemeth encounter happens in the Fade, and Danae responded positively/politely to her.

Leliana was supported as Divine.

Inner Circle (Only listing those with any real decision to be made, though it can be assumed she has completed all others.)

Promise of Destruction: Encouraged Cassandra to rebuild the Seekers.

All New, Faded for Her: Freed the spirit, got Solas to stand down and not murder the mages responsible for the binding.

The Verchiel March: Harmond was made to work for the Inquisition, though Danae supported Sera back at Skyhold.

Revelations: Ordered the advisors to find a way to release Blackwall, decided on Josephine's method (a special dispensation from the Orlesian throne), allowing Blackwall to be transferred to Inquisition custody. Her Skyhold judgment was to free Blackwall to atone for his crime.

Demands of the Qun: Told Iron Bull to order his men to retreat, betraying the Ben-Hassrath and making him Tal-Vashoth, but saving the Chargers.

The Forgotten Boy: Told Cole to give the suffering man a chance, and then recruited him.

Subjected to His Will: Allowed Varric to help Cole work through his anger, becoming more human as a result.

Last Resort of Good Men: She told Dorian about the letter, and encouraged him to speak with his father in Redcliffe.

Of Somewhat Fallen Fortune: Spared the assassin in Val Royeaux. She agreed to Josephine's request to help restore the Du Paraquettes as nobles in order to annul the contract with the House of Repose.

Perseverance: She encouraged Cullen to keep fighting his addiction, turning him back toward recovery.

Before the Dawn: (Raided the quarry/reclaimed Emprise du Lion beforehand.) Completed, used Dagna's rune to destroy Samson's armor in the Arbor Wilds. Insisted on Maddox being given a funeral.

The Left Hand of the Divine: She was able to convince Leliana not to kill Sister Natalie.

Bring Me the Heart of Snow White: Brought Vivienne the specific wyvern heart requested.

Jaws of Hakkon
Discovered and met Ameridan
The dragon was slain
Earned a legend-mark from the Avvar
Shared the truth

Trespasser
Married Cullen, with Dalish vows.
Joined the Friends of Red Jenny.
Freed the dragon.
Vowed to redeem Solas, if at all possible.
Disbands the Inquisition. 

Due to completing Contact Clan Lavellan using Josephine, Protect Clan Lavellan and the subsequent mission chain came into play after reaching Skyhold. Matters were resolved in Protect Clan Lavellan and Wycome, and Clan Lavellan was saved.
All companion-related missions (such as Red Jenny stuff, Hard in Hightown) completed.

Skyhold judgments

Was largely merciful in her judgments, Erimond and his execution being the exception.

Inquistion focus: Connections

Its web of influence is felt in every hall. Through diplomacy and the trading of favors, it has gathered the power to shake kingdoms.

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Korrin Adaar
Class: Mage (Rift Mage)
Romance: Josephine

The Wrath of Heaven: She chose to charge with the soldiers, believing there was no time for anything else. Denied being chosen by Andraste.

In Hushed Whispers: She chose to form an alliance with the mages.

In Your Heart Shall Burn: Managed to help Harritt and rescued all the townspeople. She also confirmed her belief in a conversation with Mother Giselle, though expressed disappointment in its extremes. ("Fanatical belief is to blame.")

"With fear running rampant, they need to see a mage standing for what is right."

Here Lies the Abyss: Recruited Jana as an agent, Stroud was the Grey Warden contact. Cleared all the siege points at the battlements, had Hawke join the party to help them cut a path to Clarel. Convinced some of the Grey Wardens not to fight. Decided that Hawke would be the one to remain in the Fade, and had the Wardens join the Inquisition.

Wicked Eyes and Wicked Hearts: Fought and killed Florianne at the conclusion. Celene was supported and saved, reunited with Briala. (Alt. Allowed Celene to be assassinated, Gaspard rules with Briala pulling the strings.)

What Pride Had Wrought: Did not do the rituals at the temple. Morrigan drank from the Well of Sorrows. (Korrin would have destroyed it, but was persuaded out of doing so.)

The Final Piece: Flemeth encounter happens in the Fade.

Leliana was supported as Divine.

Promise of Destruction: Left the fate of the Seekers up to Cassandra.

All New, Faded for Her: Freed the spirit, allowed Solas to kill the mages responsible for the binding.

The Verchiel March: Allowed Sera to kill Lord Harmond, supported her back at Skyhold.

Revelations: Ordered the advisors to find a way to release Blackwall, went with Josephine's method (a special dispensation from the Orlesian throne), allowing Blackwall to be transferred to Inquisition custody. Her Skyhold judgment was to give him over to the Grey Wardens after the defeat of Corypheus.

Demands of the Qun: Told Iron Bull to order his men to retreat, betraying the Ben-Hassrath and making him Tal-Vashoth, but saving the Chargers.

The Forgotten Boy: Allowed Cole to end the wounded's suffering, and then recruited him.

Subjected to His Will: Allowed Varric to help Cole work through his anger, becoming more human as a result.

Last Resort of Good Men: She told Dorian about the letter, did not encourage him to reconcile with his father.

Bring Me the Heart of Snow White: Brought Vivienne the specific wyvern heart requested.

Of Somewhat Fallen Fortune: The assassin in Val Royeaux is spared (only because she feared Josephine getting hurt in the fallout). She sent Leliana's agents to the House of Repose to destroy the original contract against Josephine's family.

Perseverance: She encouraged Cullen to keep fighting his addiction, turning him back toward recovery.

Before the Dawn:(Raided the quarry/reclaimed Emprise du Lion beforehand.) Completed, used Dagna's rune to destroy Samson's armor in the Arbor Wilds. Insisted on Maddox being given a funeral.

The Left Hand of the Divine: Leliana was steeled. (Korrin couldn't stop her from killing Sister Natalie.)

Skyhold judgments

Was more of a recruiting judge, putting people to use.

Trespasser
Joined the Friends of Red Jenny
Vowed to stop Solas, even if it means killing him
Saved the dragon
Keeps the Inquisition as Divine Victoria's personal guard/peacekeeping force.

Inquisition focus: Forces

Its military might has grown, now rivaling that of kingdoms. Fear of the Inquisition's army has become the true source of its power.