I'm not sure I understand your question? I can help you with some of it.
SWO--There is giant formula that will rank you against everyone across the nation (it should encompass your grades, PRT, etc). It will determine what you get to select. Basically (this is how they did it at my unit) they will sit the person down and call the detailer at a certain time. They will give you a list of openings (i.e. DDG out of Norfolk, CG out of Japan). Obviously the 'best' availabilities go first.
Pilot/NFO--not sure how the selection process works exactly but again they use the formula, including your grades, ASTB, evals AND PNS points (how the CO ranks you). This might just be based off the MIDN evals (the evals should rank you like a REAL FITREP). Later on as you progress through the pipeline your performance, preference and needs of the Navy will dictate your platform.
Sub--You will be screened based on the above mentioned formula, physic/calc scores, major. If you pass the screen you will be invited to have an interview with the flag officer in charge of nuke training (not sure of his name, rank or billet). If you pass that have your checking account info ready because you get a $15,000 bonus. You will go to power school after commissioning. I'm not sure how ship selection works after that, but I am sure it has something to do with your performance in power school.
SWO(N)--you go basically through the same process as above, except there is an added bonus...you don't have to go on a sub! After commissioning, you will first go earn your SWO pin and THEN go to power school. Your second tour will be on a carrier.
Reactors--You go through a TIGHT screening process. If selected you go through more intense interview process than the sub/SWO(N) one. However, if you are turned down at reactors, your reactors interview will count toward a sub interview if you so choose. After commissioning, throw your uniforms away because you will wear a suit and tie to work. Also, I'm pretty sure there is a limit as to how long you can stay in the Navy. They will send you to grad school as well.
Medicine--There are several different avenues to becoming a doctor but I will tell you the one most people want. There is a national scholarship with 25 slots yearly. The Navy will pay for your medical school after commissioning. You will retain your rank, pay, everything. Not sure on the service requirements. What often happens though is that 1) you don't get the scholarship but you get into med school and 2) you get the scholarship but you don't get into med school. Happened to a few people when I was in college.
EOD/SEALS--Very unsure as to the process...but if your recommended you will be interviewed and have to pass their dive/SEAL physical fitness test. From what I have heard, you get ONE shot (enlisted can go back) at BUDS. Officer attrition is something like 98%...lots of academy guys make it through.
EDO--Not sure how you work this one out initially, but after commissioning you will go get your SWO pin and then go to EDO school. Lots of cool things to do in this field including working on space stuff.
Sorry if this is poorly written...played hockey today and I can barely keep from falling over.