First, thanks for your respond and for giving me support even on a Saturday evening.
The situation is changed now back again, the stick has been recognised by FSUIPC, but the throttle is still frozen.
I have checked P3D but I can only set stick OR the throttle, not allowed to use them together via P3D settings menu.
Windows Game Controller shows their status both OK. I can calibrate the stick, and I have already done, but cannot do that with the throttle (not sure is it correct, I will google it in a minute).
I set couple of buttons and axis from both throttle and the stick in ChasePlane, and they're all working without any troubles.
Here are my latest log and ini files with working stick and frozen throttle.
Thanks for your help once again.