Yes and no. Third year rotations are almost entirely assigned by the school but fourth year is mostly self-organized because there are 20+ weeks of auditions/electives. And by self-organized, I mean you come up with ideas and whatnot yourself but there should actually be a clinical coordinator you work with to help you actually setup and brainstorm.
Nope. The way rotations work are first you're assigned a region, then you select a track (the order in which you do your rotations [FP --> psych --> surg, etc]), then you'll actually choose your preceptors. Where your preceptors have privileges is what gets you into certain hospitals.
1. They're decent if you're proactive.
2. Keep the school up-to-date with new MCAT scores, new grades, publications, activities, etc.
3. So that you're not wondering what's going on with your application...
I'm sorry to hear that. I know it sucks, but if you'd still like to go to AZCOM (disregard the insult of being wait-listed again in thinking about this, if possible), you've already spent the money on the application, secondary, and coming here to interview. There's nothing to be gained by throwing away the money and withdrawing if you really want to attend here and it won't hurt to just leave your application active with the school to see if you can get in off of the wait-list. If you want to better your chances of getting in, just send in a LOI and keep the school up-to-date with stuff going on with you in regards to academics and activities.
Or, you can just take your LECOM-B acceptance, spend <1/2 of what you would on tuition, and have your loans paid off well before I will. 😉
Best of luck with whatever you decide to do though!