are there a few rooms where travelers can book a night there to stay like at the Oakland Temple?

No- no housing available at temple

No

There are hotels near by, but there is no over night stay at the temple/visitor center

No. Although they used to at the LA Temple

No. It's not that kind of a place. :) It's a place where those can come just to visit, serve God, and feel the peace of his spirit that dwells there.