STH and Arsh, sounds like it's a personal decision and there's no right or wrong. You both have good reasons for wearing or not wearing it. My husband never wore a ring - he said he didn't like it and it wasn't required in his culture which is true although now that I see this other side of him perhaps this was a red flag that he wasn't ready to settle down.
Neffer, I looked at some mother and child articles and can see how this happens. It doesn't seem this was our situation prior to having our daughter because I worked full-time and my husband stayed at home for many years and I was more like the provider and he was the caretaker and he seemed to build up resentment for that. The dynamic changed further after we had our daughter. One of the first things I remember is my husband walking around saying "I'm the biggest loser. I lost everything." He meant that instead of being the recipient of all my attention he was left in the dark. Perhaps this led him to get depressed and then have an affair but I think it was something deeper because later he kept saying "I never got to live my life. I never got to have fun (due to growing up amid non-stop war)." So ultimately it seems he left because he felt the need to date and sleep with an unlimited amount of women, go to bars and clubs and party like a teenager, and live a carefree life. What a waste. The mother / child dynamic may be just one of many problems in my case.