Originally Posted by
Transpierce
I would highly recommend not going 50 base luk. There are other rings which give luck stats. Finish the crusade quests, and you get a 4 all stat ring, and a 3 all stat ring. Also, the current event in GMS hands out an 8 all stat medal at the end, and the end medal of crusade is 5 all stat. If you are dedicated to your character, Escape PQ can get you a very good belt, and Kenta PQ gets you very good glasses. Both of these give extra luk.
Sorry I couldn't answer your other questions, but I don't know much about how battle mages work D: