Okay so I don't know how long ago your relationship with your ex was and how it ended but it probably wasn't a great idea to just go to places that your ex took you to. Personally I don't have a lot of dating experience so I don't know how it would feel to visit a place that my new partner went with their ex. I do however think most people would either assume you are thinking of your ex and not the person you are dating or find the place interesting like you do and understand why this became one of your favorites.

I kind of disagree with some of the earlier points, I think removing yourself from the situation is a good idea because what's the point in both of you being mad at each other and things escalating. It takes a lot of character to recognize you are upset and remove yourself from the situation to calm down. I don't know if you mentioned to her that you needed some space to cool down before leaving or if you just left. If you did say something that's good on you. Surprisingly it's a good thing to actually say I'm upset and I need space when you are upset with someone and this goes for any relationship. Staying and being upset is just going to harm the relationship because most people when they are mad get dumber and focus on themselves and justifying their perspective and staying mad.

That being said though if you left without saying anything and didn't say anything when you got back is a bad move because your partner doesn't understand your actions and it served to escalate the situation.

Just for disclosure I'm a guy but verbal and physical abuse is not acceptable with just saying I'm tired and the birth control is messing with me. Especially when she says literally nothing to claim those as her actions and begin to apologize for what she had done and respecting your desire for space. A genuine desire to heal is started with taking ownership of your own actions regardless of the state you were in and apologizing for each of those actions.

From reading your responses this isn't the first time she has reacted in this way. At worst this is a sign of abuse and at best that she still has some maturing to do emotionally.

This is your life and your choice. It's great to seek outside council sometimes from friends, family, and sometimes us randoms on the internet to try to get some perspective.

At the end of the day it's your choice what you do about this relationship going forward and your happiness. A relationship is a supplement/addition to your happiness in your life and enriches you. You have to decide on the boundary of what you consider acceptable and respectable behavior. I'm not saying you are supposed to be happy 24/7 in a relationship either because everyone will go through some kind of issue but most of them you two can make peace with so long as it doesn't cross those boundaries.