please help woth both questions

1. Two players are playing the following game. Player 1 chooses between Top (T) and Bottom (B), and Player 2 chooses between Left (L) and Right (R). If the only Nash Equilibrium of the following game is (T, R), which of the following can not be true? 2. Suppose that two people choose either Head or Tail. If the choices differ, person 1 pays person 2 a dollar; if they are the same, person 2 pays person 1 a dollar. Each person cares only about the amount of money that she receives. A game that models this situation is shown by: Which of the followings are the (pure strategy) Nash equilibria of this game? (You can choose more than one answer) None of the above. Players will play mibed strategies. (Tati, Head) (Tail, Tail) (Head, Tail) (Head, Head)