I asked Lena, if I invited her to go to the movies, would she go?

I asked Lena if she would go to the movies with me if I asked her.

I asked Lena if she would have gone to the cinema with me if I had invited her. (он спросил о прошедшем времени, об уже упущенной возможности)

I asked Lena if she would go to the cinema with me if I invited her. (он спросил теоретически на будущее)