When the parts of a compound subject are connected by the words or or nor, the verb should agree with the subject that is physically closest to it in the sentence. Think of it in this sappy light: you tend to agree with those who are closest to you (family and friends), right?
Awww. Ain't love grand?
Well, compound subjects and verbs are no different. The verb agrees with its best buddy: the one that it's closest to.