I am having a similar problem, specifically with Hawke, as I'll explain below.
I created my Tapestry before ever obtaining a copy of Inquisition. I set up the Tapestry because it looked really cool and was fun to choose all the little options to make things unique.
Now that I've been playing Inquisition (about 20 or so hours in I think?) I'm at Skyhold at and the point where I talk to Varric to summon Hawke... and Hawke appears in the "Customize Hawke" window as a male, whereas Hawke is clearly female in my Keep. Talking to people from EA produces the same scripted answer of "post in the forums" and pray to the damn Maker you get a response. I can live with male Hawke but it breaks my immersion because my Hawke that I created in the Keep is how I imagined them - a badass female rogue who romanced Fenris. Not a male character who appears to have the default backstory.
I also encountered another lovely error where the "Champions of the Just" quest line was completely greyed out and 'hidden' in my Tapestry when I went to fix it after spotting that my Inquisitor had apparently sided with the mages whereas in game I sided with templars. I had to click around inside the quests a few times and that finally resolved itself. I've re-imported, reworked, redone all I can in Tapestry and with the game. I play on PS4 so I don't know if this is unique to the PS4 version or what. It's really * annoying though.