The solicitor would have needed to be satisfied that had had mental capacity and knew what they were doing when they made the wills otherwise they would not have made them.
Your brother is entitled to change his mind about buying you out and does not need to give you anything for the sale of his house.
Your mother has a mirror will, a mirror will can be changed, but to do so, she would need to have mental capacity to do so, otherwise you can challenge any change.
There is nothing to stop your brother moving in with his mother, that's a matter between them.
When you mother dies, assuming the will has not changed, then you and your brother would inherit the house. That is when you can ask him to buy you out.
He cannot buy you out now as neither of you own that property until both parents are dead.
Assuming you both do inherit the house and he then refuse to sell, you would be able to take the matter to court and seek an order to sell from the court. This would order the brother to sell the property.