When do you know if it’s better to let go of a relationship?

Idk what’s happening. My bf and I have been fighting a lot lately. We’ve been together for 4 years and it hasn’t been rainbows and butterflies all the time, but we love each other and I used to think he was my forever person... we always talk about our lives together and future children... but lately it just seems like we always get on each other’s nerves... more specifically in public - sometimes it’s my fault, sometimes it’s his fault. & It’s mostly dealing with our personalities - he’s an extrovert and I’m an introvert. Idk if we understand each other as well as I thought... in public I get some anxiety and am reserved and don’t like attention, where as he gets obnoxious and thrives with drawing attention to himself. Last night was the most recent fight cause he pushed me playfully at a friends thinking it was a cute thing to do & I lost my footing and fell on the couch (I’m already recovering from a chest injury from the gym and that little fall REALLY hurt) I snapped at him in front of everyone and we haven’t spoken since then.... i don’t think I’m wrong per say except for the part where I was a bitch in front of his friends but he also doesn’t think he is. Half the fights we get into, we don’t agree on who’s wrong. It leads to half hearted apologies just to keep the peace an idk if it’s better to just walk away or keep fighting for us. Should u even fight for a relationship? Is this toxic? Idk what to do 😞 it hurts to think about a break up but I don’t wanna end up being the couple who are visibly hateful to each other and end up resenting one another.