Does the hotel have access to the city transit???

Yes

Yes. You can enter the underground metro system from the hotel without walking outside. Also, the hotel is very centrally located. There are many bus lines that pass by, and it is within walking distance of much of what a tourist would want: White House, The Mall, Chinatown, many museums, Convention Center, etc.

It accesses the metro @ Metro center...

Yes. A metro stop just off of the lobby

Yes. And near so much

Yes. The hotel is in a great location.