I'm actually already classed up in Primary, so "limbo" was probably a bit misleading. It took me like a month to get through the five flights in the aerobatics block (weather delays mostly). And yeah, I'm mixing it up a bit, I'm on an Archer kick lately, but everyone has Archer as their profile pic. This one isn't ideal either, since Bryan Cranston's character is an Air Force guy, but let's not split hairs.
To the first part, yeah you get 2.5 days of leave per month, so 3 months at OCS = just over a week of leave, unless you're BDCP or NUPOC, in which case you may have accrued some leave during college.
To the second part, that's a magical time known as A-Pool (for API), where you muster every weekday morning in khakis for like 15 minutes, and then the rest of the day is completely free. If you do some volunteer stuff, you can get phone musters too, which is even better. A-Pool is probably the best part of flight training, since you get paid for basically one hour of work total per week.