Heya and welcome!
Trust is one of those hard things. You've been together for nearly two months, has he done anything to make you not trust him in that time? If its no, try and hang on to that thought - that he's done nothing to make you distrust him. In a way, having him know the pain of being cheated on, makes him more of a kindred spirit - but it helps to keep talking. Talking, I think, is one of the most important things in a relationship. Having someone that you can talk to can help so much with trust.
And... confidence. That's a bit harder to get some of. You say that you feel low when you're with him. Another thought to hang on to - You're with him! It's that simple. He likes you, he likes being with you. He's not with some other lady, nope, he's with you! And there must be many many good qualities to you, otherwise he'd not be with you right? Remember too, he's darn lucky to have you!
Also, I say this a lot here, but confidence can be built in relationships by making your own life richer. Its not healthy to ever put too much pressure on someone else for your happiness or think you're not good enough. A partner should compliment you, not be the whole of you. I think by having nights out with good friends, doing a night class that's fun anything that you love doing helps build confidence and also stops makes the relationship more even and healthy. Plus it gives you loads to talk about when you do see each other!!
Hugs
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