hi and welcome!

You have to really know someone to trust him/her. Trust is a very fragile emotion, and doesn't jump as quickly as like, appreciation, distrust. Trust is one emotion that I think should be earned...so I think trust should be still "building" in your relationship at this point.

What really stood out to me in your post is that you've only been together for a month and are constantly fighting. What about? Usually that's the preverbial "honeymoon period". If the two of you are fighting, is it because you each do things that the others don't like and are trying to change that about each other? The worst thing that a person can do going into a relationship is think they can change the other person.

In other words, if the fighting is mainly about trust issues, give it some time for the trust to build but try to be good to each other in the process. If it's because you want to change him or what he does (or visa versa) then I'd rethink things a bit and maybe both have to make some compromises to diminish the fighting.

I wish you luck!

Be safe,

Kimmydawn