Break-up due to extreme fights, but love&passion intact

Hey there,
My name is Csanád, and my soulmate broke up with me on the 2nd of July. The reason was me being aggressive numerous times throughout this fifteen-month-long relationship, especially this year. Covid put extra pressure on us, and we hurried a little with moving together, as we were together for less than half a year then. I am from an impulsive family where my parents have had a relationship full of love & rage. On three occasions, our fights resulted in really minor physical abuse, such as a tiny push from my side and slapish stuff from her side. She comes from a really strange family, her mother leaving her and her twin alone many times in their childhood, while their father cheated & left their mother when they were 1.5 years old. Therefore, she has strong abandonment patterns.
Our relationship was a true fulfillment in terms of intellectual, emotional and sexual connection too – although our sexual life was compromised in the last six months as she had a constantly repeated infection, and nothing helped. She being utterly provocative, playing mind games all the times brought the worst out of me, which I am very ashamed of. She is extremely jealous whilst I did not give any sign that she should be – I have never even looked at a single woman, yet she constantly nagged me with fictional cases despite me being sensitive for this because of family reasons. Throwing stuff and shouting was my habit, calling names, touching sensitive stuff verbally and arrogance being hers. She told me that the problem is that she cannot forgive the fights we have had.
Our break-up was my most humiliating experience. After she stayed at her father for a night, as she usually does every other week, she called me home to our apartment to break up. When she came home, she was with her father, who would not let us talk and get closure as he was literally opening the door constantly. When she and I asked him to leave us some space, he started the blame-game on me, saying stuff like “you have to thank yourself for all this” and “your girl left you” 10-15 times. He was clearly trying to make such a big scene to give reason for calling police. I have not been mad at all, was surprisingly calm and collected through all this, but it is still hurting me bad tbh.
After I collected the rest of my stuff three days later, we split in a good manner, having an extremely passionate kiss as a goodbye. After this we agreed no contact, but I had to reinforce it on Monday, beacuse she broke it for practical, bills&stuff reasons. She changed her profile pics today, pics of us were not included in this “purge”.
I have read this whole site, but I still think, any my family thinks too despite them hating her, it is just like a break. I have not been open to a break never, so unfortunately, I have not left previously a choice. I am doing self-improvement, I am studying mindfullness (even though never believed in it before), stoicism and anger management enthusiastically, and she changed my temper a lot according to my environment too.
I am confident that this break-up is the best that could have happened for us to see the good in each other again. I am sure that we can return to the pattern of lifting each other and making each other’s life vastly happy.
What I just want to know is whether these three weeks of her being abroad with her twin enough for her to process the negative happenings? Should I write a letter of elephant in the room by her coming home on paper? How can I prove my change when it is time for us to meet up again? Does leaving the pics of the two of us mean anything?

Thankfully, Csanád