Here's an idea: why don't you try talking to somebody about your worries whether you believe this is the reason for male suicide or not. It isn't weak to ask for help. Talk to a friend. Talk to Samaritans. Talk to your wife: I'm sure she'd much rather see you as weak than dead.
This is toxic masculinity. This is why they think men kill themselves. It's ok to need help. It doesn't even have to be a therapist. Just talk to somebody.
I'm pretty sure the articleis blaming the culture, not the men. It's no individual man's fault that he's raised in a culture that tells him he needs to be strong and that asking for help is inherently weak.
This has always been my attitude to relationships. Nothing good ever comes from forcing it. It sucks being a teenager and everybody around you is pressuring you to have relationships and lose your virginity and you end up getting with some actual fucking mutants. It's a very mature attitude anyway. Your dad sounds like a douche who doesn't respect you. I hope he comes around and learns to appreciate you before you fuck off to college or whatever.