I read the FAQ "After I kill Mog or the final boss, Dink seems to lock up?! (freeware version)"

I almost killed Mog 3 times and each time, I would freeze when the word "Please" popped up and Mog would then beat the crap out of me until I died.

I remembered earlier that I killed a guy through the wall on the left side, so next time I killed all but one of the bad guys where Mog lives and I walked down and out of the place, went left and up next to the wall. I waited for the last guy to walk over and I finished killing him with my sword (it reaches a little past the wall). Mog came out and I did the same with him. I just kept hacking away at Mog until he died and I had no freeze up and I didn't have to mess around running in circles either.