per your DxDiag... @A-virzi
P1: DragonAgeInquisition.exe
P2: 1.0.0.0
P3: 5600f278
P4: aswhooka.dll
http://www.freefixer.com---shows aswooka.dll is AVAST
so your issue is with Avast software interfering with the game starting...
So....
1) Exclusions properly set up to exclude, ORIGIN, ORIGIN GAMES(or more specific the DAI folders), and over in users find Dragon Age: Inquisition Saves folder and exclude that.
2) I have seen on several occasions you must put in Exclusions AND temporarily disable AV to make it work....not often but yeah sometimes...
3) Rare occasions anti-virus must be removed to make DA:I work....
4) If you have an issue with this....take it up with AVG/Avast, cause they are the fools who can't figure out a game that has been out 2 and a half years isn't a virus.....