You're not going to notice any difference between P days and 1-1 day. You will start with no uniform, live in a temporary barracks, and have your hair for about the first 12 to 24 hours. Then, you will get the haircut, be fitted for your seabag, and move into your company's "house".
Your P days will be just as structured as the rest. You will march (very badly at first) from the second you get off the bus. You will be assigned to a company immediately. Starting the first night, you will sleep in the same room with up to 87 other guys (most companies don't get bigger than 50 to 60), you will eat with them, shower with them and catch one of the worst colds of your life with them.
Now, let me give you a word of advice. FORGET about who is going to be in your company, why they have p days, what 1-1 day is and ALL that crap. The schedule they gave you at the recruiting office was just to give you an idea of what's going to go on. Tear it up.
Your job is to do as you are told, when you are told to do it. Unless you are the company commander, the schedule doesn't mean anything to you. Of course, the CC has probably pushed so many boots through RTC, that he doesn't need the schedule either. All you need to know about the schedule is that they can kick you back to the beginning at any time. There were guys transferred into my company who had already worn out a set of uniforms. They got to go back to 2-1 day at least three times. One guy got set back to 2-1 day the day before he was supposed to graduate. These guys all got to spend 4 to 7 months in RTC because they couldn't stop trying to do things on their own. Freelancing was the single and overwhelming reason why recruits got into hot water. Every single time someone got into a jam ( often bringing the whole company with him) it was because he forgot to follow the program, and did what he thought he wanted to do instead.
It doesn't matter who is at the airport, or on the bus, etc. If you sit together on the plane and on the bus, you might (just maybe) get into the same company, but who cares. The idea isn't to go to RTC with a bunch of friends. The idea is to get along and work with whomever is assigned to your company with you.
I get the impression that you (quite normally) are trying to maintain some sense of control over what's happening to you. Get over that. In RTC, the only thing you will be able to control is your own behavior. Forget about everything else. I guarantee that anything else that you try to control is going to get you into trouble.