Lied About Being Married

So my husband and I got married September 2021. We just did a court house wedding as neither of us had much money at that point and we had other things going on with our son being in the hospital due to extreme prematurity. However, he lied to his family about us being married for 9 months, told me to take off my rings when I was around them, and I was asked to pretend to be just his girlfriend. He said he was afraid of what they would think of us getting married the way that we did, but I told him that the lying and pretending made me feel like he was ashamed and embarrassed to be married to me. This didn’t sway his decision until he got caught up in his lie one day when he accidentally sent his mom a picture where he was wearing his wedding band.

Now I find it hard to trust him, as I’ve seen he has the capability to lie to his closest family members for his own person gain regardless of how it affected me. He told me he wants to “fix” his mistake (of lying for 9 months about the reality of his life) and asks me what he can do to make it better but I don’t really know. I struggle to believe what he tells me and constantly wonder if he’s lying to me or his friends. He has many friends across the US and he told me all of his friends know he’s married, but when he was on the phone with one of his best friends, his friend said “oh man, I didn’t know you had a wife!” Our marriage is great besides these trust issues but I don’t know where to go from here..advice??