do the tickets print in the arcade

If you're referring to the tickets that spew out of the arcade machine, then yes they "print out of the arcade". If you're referring to the admission tickets you would buy those at the front gate/entrance.

They do. Then you can turn them into the ticket counter for prizes

Yes they come out. It's old school.

I am not sure...we bought ours at the gate.

Not sure. I never went in there, sorry 😐