You're miserably unhappy and pregnant (hormonal), but you don't want to go to counseling? GO! Breaking up a marriage requires just as much self-awareness and confidence as keeping one together, and you'll need help and support no matter which choice you make. It's a safe place to share your feelings with a neutral arbiter - why would you only look at the expense and not the benefit it could provide to YOU? If you get divorced, you still need to help your daughter through it.
You have long-term, built-up resentment toward his family. Maybe they are horrible people and totally disinterested - but you need help in dealing with that and not letting that resentment stay in you. It's eating you alive. So get help for it. You don't have to see people who don't enjoy you and whom you dislike, but you can't then be resentful at the same time that they aren't around for your daughter. If they're so awful, why do you want them involved? Your husband can see them on his own time.
I do think your choice of spilling your guts at the funeral was very poorly timed. I don't care how awful everyone is, you don't choose a crisis time of loss and mourning to talk about your own needs. You should have gone, expressed your condolences, and let them all say what they needed to say about the loss. You only had to listen. You say you apologized, but you also say you aren't sorry. So that insincerity is something he could feel.
Maybe he's a lazy person who earns no money, but maybe he's a nurturing and caring father. Women who stay home and raise children have been called lazy do-nothings for generations, so be sure you aren't being so dismissive of his contributions. Maybe he doesn't feel appreciated and that's part of your problem?
Forget the certificates. They can be replaced for a small fee, and someone taking the certificate doesn't invalidate the marriage. It's interesting to me that you thought to take them, and that he thought to go look for them. Why are you both focused on the paperwork? Why is this symbolism so front-and-center in your home? He wants to cut them up as a dramatic sign, and you want to hide them as a dramatic sign. Sounds manipulative on both of your parts. Anyway, I'd put that worry aside. If these papers are valuable to you, do what most people do - put them in a safety deposit box at the bank where they are safe from loss, carelessness, fire and flood.
To recap - get counseling. You two don't know how to express your feelings in a way that doesn't cause hurt, and you are both harboring a lot of anger. Your child is being raised by 2 angry and resentful people, and that's not good for her whether you stay together or divorce.