Yes, especially man eating animals only on three conditions:

1. Only to be kept in Texas, Louisiana, Kansas, Mississippi, Georgia, Oklahoma, Alabama, Georgia, South Carolina, Arkansas, Tennessee, Kentucky
2. Churches in the states must be licensed and given responsibility to feed them, members of congregations first
3. If a person/tourist/visitor from out state these states is harmed, the grieved families and parties will have unlimited rights to sue for damages without the application of the "Statue of Limitations" and prosecutions must be held in the states of residence of victims.

No Velociraptors, or T-Rexes please!

Yes, especially the extinct hominins, asking for a old friend.

That depends on the animal and how/when it became extinct. If its an animal that went extinct within the past few hundred years (tasmanian wolf or the dodo) and due to humans then I'd be in favor of reviving the species. If its something that has been extinct for thousand of years (smilodon or the mastodon) or longer and may no longer have a place in the current ecology then I'd say definitely not.

No.