Is there a rooftop bar and is it open to the public?

Yes it is opennto the public

There's a rooftop lounge. And it is open to the public I believe

Yes there is.

Yes there is a rooftop bat called "Sugar". It is one of the top rooftop bars in the city. If you are there on the weekend, get there early because the line is very long. If you're staying at the hotel you do not have to wait in that line.

Yes