35M at DLI about to start class for Arabic-Levantine. What are some possible duty stations that I may get with that language?

Like SFC Casey O'Mally said you're a 35M first and a language speaker second. Later in your career you might be restricted from choosing a few duty stations based on your language but if 35M are short in one location you might be a 35M assigned to an SF or MI unit that covers a Russian speaking area.

Yes.

Honestly, 35Ms are assigned with little regard to their language, especially straight out of AIT.

I had a buddy who got trained up as a Thai linguist. They sent him to Germany.