Three teams P, Q, R participated in a tournament in which the teams play with one another exactly once. A win fetches a team. 2 points and a draw 1 point. A team gets no point for a loss. Each team scored exactly one goal in the tournament. The team P got 3 points, Q got 2 points and R got 1 point. Which of the following statements is/are correct?

I. The result of the match between P and Q is a draw with the score 0 - 0.

II. The number of goals scored by R against Q is 1.

Which of the statements given above is/are correct?