Yes, they do. On several occasions I've seen people come in with service animals (dogs specifically).
All service animals are allowed MC except for kangaroos
I would imagine so. Depends on the kind of service dog you have. If it was a seeing eye dog they would be wondering why you were there to go to the movies since you couldn't see it but they would accommodate you. But if it's a hearing dog you can request a closed captioning device that fit into the cup holder in your seat.
Yes
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