I don't think people here are telling you to give up. They are telling you to be cautious and take care of yourself. People in your life outside of here care about you and don't want to see you hurt. Only you will know when you are done. I would say be cautious about what you tell friends and family. You can forgive your H for things that they won't be able to.
I started reading "Not Just Friends" by Shirley Glass this weekend. It is really helping me to work through my feelings of H's affair and understand how it could have happened. It also tells you what steps you and your H should take to earn back trust. You may want to think about buying it or seeing if the library has it.
I really think you are doing great and I think you sound like a much stronger person than you were even just a month ago.