Not sure I know what "normal" is anymore. Ha.
I would bring it up with your IC. Being burned lots of times will damage the part of you that trusts. I'm not sure if having a shadow of mistrust is a detriment to your relationships or not. There's a difference between being cynical, being guarded, and just knowing in the back of your mind that humans are flawed and have the capacity to hurt you. The latter is normal. Human beings are flawed and do hurt other people, sometimes intentionally, sometimes not.
For me, I know that my lack of trust definitely damaged the relationship, in lots of ways. But it was an extreme lack of trust (grounded in the realities of being deceived by my BP--which I know you can relate to.) Distrust born out of betrayal is different than a general sense of wariness. It sounds like you're experiencing both.