The Laxius Power games were RPGMaker 2000 if I recall correctly. It sounds like they
should work, apart from a possible keyboard issue. LP1 is working for you and LP2 apparently worked once, then never again? Weird.
You might try to set the program compatibility on the .exe for windows 8 or 7? Maybe give the other compatibility options a try, run as admin, etc? You might also try this link for LP2:
http://aveyond.com/forums/index.php?/to ... r-trilogy/ (Scroll down to the LP2 Download)
That post was by Indinera himself, so the LP2 download should be a legit, working, up-to-date version of the game. Just in case the site you downloaded LP2 from maybe had an old/bad copy. Wish I could help more, I'm holding off on Windows 10 for now.