"Time to time my aircraft go to dive with right roll approximately 10 degree. All efforts to put it to straight fly cause only system message "don't move your controls so rapidly"."
May or may not be the solution but,
I occasionally had a similar problem with the plane rolling. I found out the rollers beside the stick had been accidently moved (CH Fighter Stick). It seems that on my set up the rollers were mapped to trim. I simply moved them back to center and life is good until the shooting starts.
Center is where they were when you calibrated. The rollers have a spot where you can feel them click. If by chance they were not centered when you calibrated, re-calibrate.