When trying to take the first lvl within 6 rounds, my attacks constantly stop even though both I and the computer player have armies left on the countries. For example, if I attack Indonesia from Siam and if I had 19 armies, while the computer has 14 (7 before round additions), my attack will kill off the 7 that were there before, but it won't finish the attack against the new armies placed, thereby preventing me from completing the round in 6. Any idea why this is happening?
It sounds like you're assuming the combat works like Risk - it doesn't. Check out http://wiki.warlight.net/index.php/Basic_combat