If you get the shots and adenovirus pill in boot camp, and then go to boot camp again, would you have to get those same shots again?

You'll get tons of shots in boot camp. Whether it's adenovirus, tetanus, MMR, TDAP, etc most shots require recurring boosters so you'll get whatever you need.

You should still have your old shot record. Any immunizations that are recorded on the old shot record and are still valid, you will not need to get them again.

Ask your recruiter this question.

As I have mentioned to you in your last post, you keep posting questions that should not be asked, that are repeated, or should be asked of your recruiter. Anyone looking at some of your previous posts will also conclude that you are a troll. The fact that you have you not responded to questions asked of you in your previous posts confirms that.