How long does it typically take to receive approved battle stats after posting in the stats thread?
Honestly this depends. If your character is the same breed as another character, it should be posted very quickly and approved. If your character is a rare or strange breed, it may involve more admin chatting and prolong the approval process!
If we win a pass, are we able to make some modifications to the character submitted for the roll? (Not to the magic/companion, but to appearance or history?)
I am assuming this is the seasonal slot right? The ones posted in the updates board? If so, yes! You are allowed to alter the appearance and history and name. The point of filling out that form is that you are not just grabbing a slot to grab a slot but that you actually have a character PLANNED that you will be joining. Otherwise, it's rude to take a slot from someone with an active/formed idea.