Hello AtMyLimit and welcome.
Your reasons for not trusting him are valid and until he wants to get help in one way,shape or form,I honestly can't blame you for keeping your guards up(even raising them higher,if the case may be).
The relationship is strained and as long as the "h" remains a third wheel in your relationship,no forward progress can realistically be anticipated.
I understand;love the man but detest the addict........
The only thing is that it seems that he has trouble differentiating the two;lying,hiding,using excuses....the list goes on and on.
At this point,he needs to "show up to grow up."
If he doesn't admit to himself that there's a problem that needs attending to and then address it,you will continue to be unhappy and question is loving him really worth the trouble.