Actually, some of the definitions of verb phrase would say that "must bang on the drums" is the VP.
But in the narrow sense, and if we have to choose, the right answer is A: must bang (it has only verbs in it). In any case we can exclude B and D as Tyler is the subject and is not included. So we could consider A and C and in fact both are (kind of )VP, but C is wrong because it's incomplete, in order to be a VP, it'd need to be "bang on the drums".
No, it is false that traditional grammar is still completely based on the Latin model, since many of the ways in which grammar has shifted have noting to do with the original Latin forms.
