Yes.
declension of noc

I think it is correct, but even better would be "podoba ci się ta noc?", about THE night- one specific.

Yes, although 'ty' is redundant.

I'd say it is about night in general. I do not think one can "lubić" one specific night.

They both would make a lot more sense if the English sentence simply had "this", but ok, added.

"Podoba ci się ta noc" refers rather to the night that is 'happening' right now, "Lubisz tę noc" sounds like a question about a specific night, like "noc Kupały" or "noc świętojańska".