Q.1 Read it, especially the parts about what is required to get your bonus, when you have to extend your enlistment to be in the Nuc program and the like. If you don't understand something... Make the LT. explain it to you. the Recruiter will tell you what you want to hear, the Lt. will have a much more difficult time stretching the truth.
Q.2 Yes, if you don't meet the requirements of the program you can be dropped from it. At any time for a BUNCH of reasons. Medical disqualification (red green color blindness got a bunch of people in my class), disciplinary disqualification... too many speeding tickets, not showing up for class, UA (navy version of AWOL). Art. 92 of the UCMJ, "failure to follow a direct order"... Academic disqualification... failing tests, boards, exams... Understand they aren't out to just drop people, they need people, but if you don't toe the line, you will be doing something else. If it is a problem the navy has (i.e. medical disqualification they didn't catch until after the contract was signed) they have to offer you something else, or out if you want out. If it's a problem you have (i.e. discipline or academic) they can assign you to what ever they need. Next to Navy Seals, the Nuc program has the highest attrition rate of any program in the navy.
Q.3 They have to read what you write on the tests, they will work at it, but if they can't tell what it is you are trying to communicate... then the answer is wrong. No laptops in class, most if not all of the material is Classified, you can't even removed your notes or any other information from the buildings/site.
Q.4 POV transportation helps if you are assigned to the shore based prototypes, they didn't have any of the NPTU Charleston S.C. or NPTU Kings Bay GA when I was in. I drove my motorcycle in upstate New York for a year... talk about stupid.
Q.5 Attitude and Perseverance... you are going to run into jag bags that are going to piss you off and are in a position to make your life miserable... not everyone mind you, but there will be a few and they will give you reason to mess with their medical record... If you can say, "When I'm master chief I'm sure as hell not going to run my division like this" and keep your eye on the goal... you will make it, if you give up, you're done. The one I used to use all the time (and this was during the cold war) was, "good thing we are fighting the Red Stink together, cuz if it was me vs. you... I'd have to kick your azz".