Странное у вас упражнение, поэтому его никто не берёт.В косвенной речи сообщается кто кому что-то сказал.А в ваших диалогах нет действующих лиц.Ну, давайте попробуем обозначить их 1(первый,"he") и 2(второй, "she").
№1
1 asked 2 if she was free that night.
2 wondered if 1 was going to invite her somewhere.
1 answered he had got tickets for "King Lear."
2 asked if it was the first night and how he had managed to get seats.
1 told 2 not to ask him questions.He wanted her to answer if she was coming or not.
2 answered she certainly was and added how she could miss a chance like that.
2
1 asked 2 what was on at their local cinema.
2 answered it was "Hamlet" with Smoktunovsky.
1asked if it was an old film.
2 answered it had had a long run but it was still drawing a full house.
1 said Smoktunovsky was very good as Hamlet.
2 agreed and said she didn't mind if they went and saw the film again.And asked 1 if he did.
3
1 asked 2 if she had no doubt heard the news.He said a famous Italian singer would be coming to Moscow soon
2 asked if 1 thought he would be able to book seats.
1 answered he was not quite sure but she would try.
2 suggested to hope for the best. She added 1 might be lucky enough to get seats and added why not.