Is there a shuttle to and from Universal?

No

The shuttle does not stop at this hotel but you could still get tickets for the shuttle that stops at the hotel next to it

You would need to call motel, I would feel quite certain they do, it's a fairly standard thing

I never saw one, we had our car, but is just across the road, you could walk

Call motel, might be

Yes. We were there last month. They are partnered with the Holiday Inn Express, two doors down. It's quick, easy, and free.

You have to go next hotel. You can ask on front desk they have schedule. But you have to get free ticket too.

No, there is no shuttle. Its close enough that walking is a reasonable option (20 mins). We walked each day. Or you can easily catch an uber/taxi.

Yes they do