2.  Trustee personally liable:  Own torts, and  Torts of employees, agents, etc.  Trustee may seek reimbursement or exoneration from the trust property in certain situations.  § 114.083  § 114.062

3.  Allowed, but only in situations where trustee would be entitled to reimbursement or exoneration.

4.  1. Common incident tort.  2. Strict liability.  3. Conversion.

5.  Same as for contract plaintiff.

6.  Common law = yes.  Texas as of March 9, 1966 = abolished by Texas Supreme Court opinion, but  Charitable Immunity and Liability Act limits liability in some cases.

7.  What should attorney recommend?