Do I qualify for 63AX with a BS in Engineering Management?

Had my MS in Engineering Management and was a 63A. Just to echo Maj Hylton's comment below, you should also consider going in as a 62. You have some more flexibility and opportunities starting as a 62. As a 62 you can fill both 62 and 63 slots.

Short answer, yes. Any STEM would qualify. You'd probably be qualified for 62 as well if you were interested. I was a chemistry major and they made me a 63 (i was trying for 61C or 14N).

Short answer, yes. You only need 20 credit hrs of business for 63A (I think), mostly regardless of the actual agree title, and your degree probably covers that with the management focus. Long answer, I have been recommending 62s to convert to 63 as fast as possible, because it's an unspoken trap by AFPC that will grab a hold and not let you go (lol). You have more leadership opportunities as a 63 (datamine the AMS authorizations to get a rough idea). If you go 62 now, and take the standard functional advice (earn a tech masters), your doors for going into 63 later will be much harder to open. AFPC routinely re-cores (depending on the overall manning levels of course) 40-50 62s/yr into the 63 career field at the mid-senior Capt time frame. But they don't advertise that, and work off of skimming for indicators in your record (which having a tech masters is a negative for consideration). There are slightly more locations for 63s as well. If you started as a 63 and wanted to become a 62 later, that door will always be open for you, because they are always in need of engineers. As far as experience convertible to post-AF life, both are great, but I'd rather wrack up leadership experience running an entire project/program and coordinating multiple disciplines as a 63, leverage my tech background, than just working as a 62.