Can a Special Needs Trust be a beneficiary of a term life insurance policy?

Please consult an estate planning attorney who handles special needs trusts for specific advice. The is a forum for general Q&A, and not for legal advice on individual cases.

Generally yes however your particular SNT document would need to be reviewed. I can't imagine that it would restrict the ability to receive life insurance funds but it could.
You may want to look at converting the term policy to a whole life policy to ensure that that the insured does not outlive the policy.
Have a trust or estate planning attorney review your documents and give you your options. It is worth spending a little bit now to make sure everything is set up correctly.

Yes, unless the document says no, and I agree with Mr. Green that you should consult an estate planning attorney - sometimes, term insurance is not best for SNTs.

Yes, but speak to a "life insurance lawyer" not a probate or any other type of lawyer, and you can Google life insurance lawyer to find one.