Is there a tram to entrance

Yes, there is a tram from the Mickey and Friends and Pixar Pals parking structure to the entrance and a Monorail from Downtown Disney to Tomorrowland in Disneyland Park.

No

There are multiple running constantly, the ones running to and from the park and parking lots run until 1 am.

Yes there is in downtown disney and it stops running from 11am to 6pm

Yes there are several in the park and in downtown Disney