Can you please check these statements, Writeacher. Thank you.

1) If I hadn't been waiting for you, I wouldn't have arrived late.
I was having dinner (not: I had been having dinner) when the telephone rang.
2) He told me he had lost the keys of his car (or his car keys, or both?)
Newspapers report that she lives in Paris.
3) She is reported to live in Paris by newspapers.My parents let me go on holiday on my own. Passive: I'm allowed to go on holiday on my own by my parents.
4) He offered to have lunch with him that day.
He invited me to have lunch with him.
5) He offered to carry the suitcase for me.He proposed carrying the suitcase for me.She proposed having lunch with her that afternoon.

1) If I hadn't been waiting for you, I wouldn't have arrived late. OK

I was having dinner (not: I had been having dinner) when the telephone rang.
Your "not" is correct!

2) He told me he had lost the keys to his car (or his car keys, or both?) OK

Newspapers report that she lives in Paris. OK

She is reported to live in Paris by newspapers. very awkward

My parents let me go on holiday on my own. Passive: I'm allowed to go on holiday on my own by my parents. OK

4) He offered to have lunch with me that day.

He invited me to have lunch with him. OK

5) He offered to carry the suitcase for me. OK

He proposed carrying the suitcase for me. stilted, but OK

She proposed having lunch with her that afternoon. This is correct ONLY if "She" and "her" are two different people.

1) The first statement is a conditional sentence in the past unreal condition. It suggests that the speaker arrived late because they were waiting for someone. To check the statement, you can analyze the cause and effect relationship presented in the sentence. If the speaker had not been waiting for the other person, then they wouldn't have arrived late. This reasoning makes the statement logically correct.

2) The second statement is about someone losing their car keys. To check if the statement is accurate, you can look for consistency in verb tense and word choice. The sentence "He told me he had lost the keys of his car" is grammatically correct and conveys that the person informed the speaker about losing their car keys.

3) The third statement is a passive sentence that reports news about someone living in Paris. To check the accuracy of the statement, you can assess whether the structure and meaning of the sentence are correct. The sentence "She is reported to live in Paris by newspapers" is grammatically accurate and conveys that newspapers report on the person living in Paris.

4) The fourth statement involves offers and invitations to have lunch together. To check the accuracy, you can evaluate the structure and meaning of the sentences. Both "He offered to have lunch with him that day" and "He invited me to have lunch with him" are grammatically correct and convey that someone proposed having lunch together.

5) The fifth statement presents different proposals and offers. To check their accuracy, you can again analyze the structure and meaning of the sentences. "He offered to carry the suitcase for me" and "He proposed carrying the suitcase for me" are both acceptable ways of expressing that someone suggested carrying the suitcase. Similarly, "She proposed having lunch with her that afternoon" is also grammatically correct and conveys that someone suggested having lunch together in the afternoon.