I'd say a few elements influenced him, however that's not to say that the JJverse ship is unoriginal or uninspired. I really like JJ's take, it's as graceful and gorgeous as the TOS cast described her.
Suppose not, I've seen quite a lot of others who already have without asking. But yeah, by all means. I look forward to seeing what you do with it, I'm always wanting to see any and all new Trek ships.