To answer your first question, AWOL is also used colloquially to describe people wildly or destructively ignoring the responsibilities of their job. So it’d be an apt descriptor if it was talking about a REAL priest but in this case it’s just flowery wording (presumably for alliteration)

It’s more complicated than that, VAC bans are tied to the version of game engine used. So a VAC ban in Counter Strike Source would have also banned you from TF2, DoDS, and HL2DM, and nothing else. This also means that VAC bans from CSGO don’t affect any other games (except CS2 which is technically the same game)