Let's see--the inlet by the two wyes is for the lavatory, which will have a 2" drain and 2" dry vent?
And on the shower, that 5' is from the shower trap outlet to the branch of the first wye, measured along the pipe? Also, no more than 2" of fall on that segment?
On the WC, I think you'd measure the run along the pipe starting at the entry at the face of the wall (that's not 100% clear, as the code says "top of the closet flange" which seems to only envision floor mount WCs). Is the distance from the wall entry to the barrel (straight path) of the 3" wye less than 6'?
If yes to all of the above, what I can see looks good to me plumbing wise. On the holes in the joists, they need to be at least 2" clear from the top or bottom, and no more than 1/3 of the joist depth in diameter. Looks like you must have 2x12s, judging from the 3" pipe?
Cheers, Wayne