English
posted by Franco .
I forgot to include the following two alternatives. Thank you very much for your cooperation.
1)"Shall I get a candle?", he said. He wondered whether he should get a candle.
He wanted to know if he should get a candle.
2)He asked me if I would like to have lunch with him on that Sunday.
3) She suggested having a party. (Is the gerund in this sentence wrong?)

All are correct.
The only change would be in the first sentence. Substitute "asked" for "said." 
One other fairly minor thing  you need to delete the comma in #1.
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