He insisted on not playing cricket. Is it correct?

English as a Second Language English Vocabulary, Grammar and Idioms
#1

Hi teachers,

He insisted on not playing cricket. Is it correct?
He insisted that he wouldn’t play. Is it correct?

I am very good at connect 4. If you play against me, you will lose to me. Is it correct?

Many thanks.

#2

Yes, yes and yes.

#3

Thank you very much.