Yes, but the hours aren't posted anywhere outside the restaurant. I think it was 4-6 last time I went.

No. There is no cigar bar.

Valet is the best option. It's $11 and they put it on your bill.... There is also a parking garage across the street.... But it's more expensive.

I don't think so. Unless you are staying in the hotel. Street parking is probably cheapest, but is hard to find.

No, only Valet.