If your Note 3 isn't using LTE when it gets those speeds, then 'maybe'. Because the P605 doesn't have a perfect match for US freqs it still may not. I'm not sure where you are located, but if it's in a refarmed area you should (P605 supports HSPA on 1900). Here is the link (hope it goes) for the refarmed areas:
Sorry, I'm just learning all this too, and I can't really give you a definitive answer!