You really should talk to the Navy personell about this. Recruiters lie thier asses off so you should call a navy 1-800 number & ask questions but don't say that you're a recruit already. Just ask and see what they say.
Your recruiter could be buying time by making you wait when you really don't need to. I joined the navy with a GED, took the asvab and went ot basic training 2 weeks later. It was quick & simple, this is back in 2000. I didn't need to PT or anything with the recruiter, that's a waste of time if you ask me.
Do what I did, I told my recruiter to send me off as soon a possible or I'll change my mind & never go. That motivated him to ship me out in 2 weeks. You're not officially in the Navy until you finish basic training. Any time before basic training is over, you can quit, even in the middle of basic training, it just takes some weeks to process out durring boot camp.
Since you're going to Navy boot camp (RTC) Great Lakes memorize this cadence:
1 2 3 4, 2 3 4, 1 2,,,, 1 2 3 4... 1 2 , 3 4, 1 2,,,, 1 2 3 4
(Pronounced)
One, two ah dee ah four, two ah dee ah four, ah one two,,,, one two ah dee ah four.. One two,, dee four ah,, oh one two,,, one two ah dee ah four..
Say these thing over & over in your head until you get to basic training. When you get ther you'll understand. When you get there you'll learn the rythem.
Go in & don't quit after joining & don't get into trouble. Get your Hnorable discharge so you can keep your right to vote, get financial aid for college and keep your right to bear arms. If you get kicked out for any bad reason, you lose your rights like a felon & you definately don't want that.
It will get stressful at times but think about the get back when you stick through it until the end. Can you say free education and free money to go to school? Only after you're finished with your enlisment but they don't tell you that.
Sailors get kicked out all the time not knowing what they are losing, don't be one of them. Memorize the cadence.