He was involved in the design of the new Apple Watch display tables[1] that have arrived in Apple stores, as mentioned in the fairly recent interview with Ive in The New Yorker, so I don't see any reason why he wouldn't be involved in store design, too.
Did you read one of his interviews? For the campus, he's personally designing new doorways and new hallways and prototyping 50 kinds of cafeteria seating and two dozen other things... kinda crazy, but perfection isn't going to make itself.
That's a serious rumor? The amount of critical parts in designing a car seems so overwhelming, I don't even see Apple having any real advantage, here. No real overlap with Apple's strengths. Even Google will probably at best just sell their navigation software, not full blown cars. Speaking of Google... maybe an Apple version of Google Glass?