I don't think communication is the issue. The shouting match sounds like you were communicating things to one another just fine. Compatibility is the issue, you're on different wavelengths. If you have a fight with a friend or a coworker, you can drop it pretty quickly, but disagreements with spouses, the person that is supposed to love us and support us, those are much more detrimental.

He was taking too long, but I'd imagine fighting about the situation made it take even longer, no? It sounds like you both may have some anger issues, maybe some marital counseling would help, but definitely focus more on the things that bring you together than the things that divide, if you want the marriage to last.