I recently entered the DEP and swore in within two weeks of talking to a recruiter. I still have three months till I leave. Since I swore in so early, can I still request a DEP discharge? Or does that prevent me from leaving the DEP?

You aren't really sworn in to the military until you swear in right before you ship out. You should have no problem getting out of the DEP. Just don't count on ever trying to join the Air Force again, they won't want to waste time on you if you change your mind again.