Ответ:
1. Tom said he was living in London.
2. Tom said he didn't know what Frank was doing.
3. Tom said he had seen Helen at the party in June.
4. Tom asked where I lived.
5. Tom asked when I was born.* (Первый вариант звучит лучше и чаще употребляется в речи, хотя второй вариант снизу грамматически правильный. Два варианта возможны)
(Tom asked when I had been born)
6. Tom asked how the accident had happened.
7. Tom asked if Mike read a lot.
8. Tom asked if I had seen Vanessa at school the previous week.
9. Tom asked if I was doing homework at that moment.