Looks reasonable, other than the (hopefully just a sketch issue) shower trap looking S rather than P on the sketch.
Presumably the drawing fails to show whatever constraints keep the shower connection from being more direct (i.e. from the sketch, seems like the Wye could just roll over to point more at the trap and simplify your connection, but I assume there are obstacles. If there are not obstacles, do that - it does not need to enter the 3" line facing up - 45 degrees up towards the shower would be dandy, 2 degrees up towards the shower would also be acceptable - it IS a wye. They do that. Taking the dry vent wye off the top is correct.)