Can I assume you posted this in the CG and AF forums also since I've now seen it in Navy and Army? You would have saved yourself some time and typing if you had just posted this once in the Joining the Military forum (although you nmay have and I just haven't seen it).
For basically everyone, PS candidates have to be squeeky clean, RE-1 re-enlistment code and, for the most part, not require retraining. As a 0331, you may be able to go Army as an 11B or 19K.