I do recall one thing ..
There was a few people that had some similar Mouse/Keyboard issues causing freezing/crashing etc a while back.
The official solution was to install the Patch, and the reset all mappings to default even if you are using default mappings, and resart the game.
The only problem is, I can not remember if it was a ME problem or a ME2 problem ...
Im bad about .. "Just a few months ago" and in reality it ends up being a few YEARS ago.
Anyway .. Ill try to dig up the official post to know for certain