That will depend on the will. There is nothing to prevent the executor from being left something, and they can collect a fee from the estate.
That depends on the will, they may or they may not depending on the desires of the testator. At a minimum they are entitled to reasonable compensation.
The death of an executor does not affect the will. The will is followed by the executor who reports to the court. If the grandmother left the children out of the will, they will not be entitled to anything.
The executor is not personally liable for anything. The estate is liable for all of the debts. If the executor is going to inherit anything, there may not be anything for them to get.
They need to close the estate. This is much easier when the spouse inherits everything.
The executor does not have to sign the will. They don't even have to know there is one or that they are the executor.
Yes, in many cases the executor is a family member and heir.
He reads the will.
A trustee doesn't have anything to buy or sell. If the property was left to the two, he can buy out the other party if they agree to it.
The executor has no right to make changes. The only person that can change it is the mother or the court.
The executor has no power over anything not owned by the estate. However, they can sell anything in the estate necessary to pay off debts.
The executor is responsible to the court. Anyone with an interest in the case can present his concerns to the probate judge. The executor does not owe anyone anything. No one can tell the executor to do anything. If the probate judge instructs the executor to give you a copy of the report, you will get a copy of the report. If you do not present your concerns to the probate court, you are Sadly Out of Luck.
The court will appoint an executor. Each state has specific laws regarding an estate with no will.
Unless specified otherwise in the will, an executor is entitled to compensation for their work. Anything they inherit is a separate accounting.