Modal verbs in the past tense /stimmt das so?

1) He must help in the kitchen.

He had to help in the kitchen.

2) You mustn`t smoke here.
You wasn`t allowed to smoke here.

3) He can stand on his hands.
He was able to stand on his hands.

4) She may visit her best friend.
She was allowed to visit her best friend.

5) They need to finish the book until Tuesday.
They need to finish the book until Tuesday.

6) I can play the guitar.
I was able to Play the guitar.

7) We mustn`t go to the Party at the weekend.
We wasn`t able to go to the party at the weekend.