Advice

Okay ladies so long story short my husband has talked to other girls about meeting up and says he never has met with them before. He says he doesn't have time with his job because he works from 12:39am-2 or 3pm most days. There was one time he was actually texting a girl and I found the messages. The way they were talking made it seem that they were really meeting up. Talking about how they enjoyed last night and she can't wait to see him this weekend and stuff like that. Well it came down to it that he deleted all girls off his phone, deleted all his online profiles just to prove to me that he's not doing anything. Well now he won't even give me his password to his phone. If he does give it to me a few days later I see if he gave me the right password and it's wrong! He changes it every day! He left his phone at my in laws one time and my mother in law gave it to me to give back to him and he blew up on her telling her that she had no right to give me his phone! My point to this is should I be worried that he's doing stuff again even though he swears up and down that he's not? We've know each other for 6 years. We've been together for 4 years and been married for almost 2.