It doesn’t seem to cover all the Calculus II material.
It depends on the university but BC usually grants credit for calc 1 and 2. Some colleges, though, include what some might consider part of calc 3 in calc 2, in which case you may miss some material. But generally, BC covers all of calc 1 and 2.
As said above, it totally depends. Check the AP policy of the school(s) in question.