Feeling lonely after series of fights with fiancé

Hi ladies, this is my first post here so I hope I'm doing this correctly.

My fiancé and I have gotten into a series of fights recently.

A couple weeks ago we went out with some friends and he got super drunk was a dick to a friend of ours. His opinion was that it has nothing to do with "us" BC he was a dick to her and not to me. Meanwhile, I think that I should point out when he's being a dick... I would expect the same honesty from him.

So that led to the usual post argument awkwardness around the house.

Things were okay (but still not good or normal) until last weekend. He can be a slob and always fills the sink with dirty dishes when I leave it empty. I tell him I don't care whether he washes by hand or throws things in the dishwasher, I just don't appreciate someone messing up a sink when I leave it clean. It got bad last Sunday so I intentionally cleaned the sink as an experiment. Since then I have put every single dish of mine directly in the dishwasher and washed by hand.

fast forward to today and both sinks are full so I ask him to load the dishwasher so we can run it tomorrow and he says "sure. but why can't you?". So I explained what was going on and he was clearly irritated but left it "ok fine".

So I started to open up. I asked if things felt okay with between us from his perspective. He said yes. I told him from mine they haven't been for weeks. Starting with the fight a couple weeks ago, nothing has felt right. I told him that I don't remember the last time we did anything together since that night he was a dick to our friend. when he is home he seems to always be playing a computer game, and when I ask if he wants to do something together (even just watching tv) he usually declines.

Then I went on to tell him I feel really alone despite the fact that we live together. We basically co exist. I wanted all of this to lead to a conversation but he said nothing, just stared at me. After a few minutes of staring at eachother I just left the room. I didn't know what else to do, I tried to start a conversation and kept asking probing questions but he was not responding. So now he's gone back to his game and I'm in the bedroom and I don't know what to do.

I wasn't being dramatic when I told him I was feeling alone. I feel completely alone and if I had somewhere to go, I would because I don't want to be here. I can't spend the rest of my life feeling like this in my own home. I get that it's supposed to be for better or worse, but it's hard to deal with the "worse" when someone won't admit things are bad.

I'm sorry this is so long.