I will say one month? That's not enough time to get to know each other at all. You can't truly love a person after just one month. Infatuation? Yes... Love? No.
If the two of you were in a monogomous relationship I see that she broke the rules by posting her picture and you had every right to get upset, but by reading your thread, did you go overboard? However, by reading your post, it seems that this relationship has had more than it's fare share of arguments. You should not be arguing frequently after only one month.