@F-kid Do you have same versions of game on both laptop and desktop pc ? If Asmo get exp on desktop in you`re RSE game, he should lvlup on laptop also because in RSE Asmo weren`t changed at all. You had to change something in his files by mistake maybe.
Try new game on laptop just for 4-5 fights to see will he get any exp, also attack low lvl troops with him (he get more exp if you kill 1-2 lvl enemy units, and more so if they are under pugmy/doom/plague spells). If he still dont get any exp my only idea is to latest patch and hope for best. Good luck