M.S.
I am so sorry. From what your post says, he is the one with the problem. He is blaming you for his mistrust but you didn't do anything wrong to warrant this distrust. If he won't go to counseling, the only thing you can do is try to understand why he doesn't trust you-----ask him what his fears are, what he is feeling, what would make him trust you etc. Until he realizes he is the one with the problem, you won't be able to move forward with this issue. As for will your marriage survive?----Time and effort on his part will tell--you may be fed up at a certain point and not want to continue or he may as well--hopefully you both will be able to work together through this. But without trusting your partner, its impossible to have a healthy marriage. Good luck and hope this helps.
Molly