Cremator! Always great to see an old squadie return to the game.
I've had those exact same issues with my set up. I've got a Thrustmaster Hotas, and every now and then everything will be reversed. My throttle is backwards, my hat switches steer the plane, stick is all wonky. I have never figured out what the issue is. I always end up exiting the game and re-assigning everything. In the last year it's probably happened 5 or 6 times. Right around a year ago I started storing my Hotas standing up and leaning against the wall under one of my tables. I'm thinking there's either a loose wire in there or the reset button keeps getting hit.