Yep. Boat tails have less drag. Due to turbulence around the base of flat-base bullets that the boat-tail reduces. (Assuming otherwise identical bullet shape/size etc.)
There isn't any set fps where bullets transition the sound barrier, depends on altitude, temperature, and humidity. However, it does happen (assuming bullet is fired to a sufficiently elevated LOS so that it doesn't impact the dirt before it slows down this much). Also, bullet does this twice. Once on exit from barrel, and again down range. On exit, wave front passes length of bullet front to rear. Reverses procedure downrange. Depending on center of gravity, spin stabilization (and probably other factors that I can't recall), a bullet may or may not remain stabilized after this downrange transition. This is why twist is important. Ogive (sectional radius(?) of the pointy end) depends on caliber/length/mass, and will move the cg around, and thus affects stability also.
Bullets, without spin stabilization, are inherently unstable. (Smoothbore sabotted tank rounds have fins for this reason). And bullets still 'wobble', even with the proper amount of spin. The better ones just wobble less. Boattail bullets don't stay up longer, they just travel further in the same time given same velocity, due to decreased drag. All bullets of equal weight drop at the same rate, if drag is not a consideration. What this means is, if you shoot a gun and drop a bullet at exactly the same time, both bullets hit the ground at the same time. The one you shoot just hits way far away no drag, on either, of course, like in a vacuum).
Bullet makers have arcane ways of measuring ballistic coefficient, which is a measure of a bullets relative similarity to the G1 drag model. The nearer this number is to 1, the closer a bullets drag performance approximates that of the G1 model. Basically, they shoot a bunch at the same velocity, and compare drop at various ranges to the drop of the G1, at standard temp, press and humidity. BC is thus a statistical representation of the results of these tests in relation to the G1 theoretically 'perfect' bullet.
In the latest Sierra manual, they go so far as to give three different BC's at different ranges, as the bullets perfomance degrades downrange, and it's effective BC is lower.
I hope this is what you are looking for, and I hope I'm right. Thsi is my own layman's understanding of what all this stuff means. At some point, when they throw the calculus at me, I just take what they say on 'faith'.