Thank you for contacting "Just Answer", we appreciate the opportunity to be of service to you.
As long as you have properly filed his final Federal & State Income Tax returns there does not seem to be (based upon the numbers you have provided) a need to file a 1041. You did not mention what state he was living in at the time of his death. It woud be helpful to know that information as well.
You also did not mention the total value of the Estate. That could be a factor.
No Texas ingeritance return is required on estates with a date of death on or after January 2005. If the numbers you have provided represent the entire value of the estate there should be no reason to file a Federal Estate tax return either. I am not an attorney so I cannot provide legal advice so you might check with one to be sure that who ever distributes the estate has the legal authority to do so.
The distributions are usualyy reported via a K-1.