A person who cheated you once may repeat the act. First he left you, then he left second one and again come back. He committed this twice. Your heart also not accepted this. So think again. If you don’t have same feeling then it is not wise to stay with him. So politely let him know.
Your parents have more experience of life. They can judge a person. It is also proved. As per them second boy is good.
You have to take decision;
Whether you want a guy who cheated you and your parent dislike him
Or Another one who have good feelings for you and your parents also like him.