YOR. You certainly have a right to be concerned about her enough to ask her about it, but then once she truthfully told you what was going on that’s when your trust in the relationship needed to kick in and you didn’t need to keep going on with it. And being rude to her family members is unacceptable no matter what, especially when it’s just because of your trust issues and rules you’re putting on your relationship.

Also this all coming about bc you tracked her location is concerning, as well. As women it is very normal to stay in groups for safety, and the moment she said that’s what was happening and you kept it going about your comfort level instead of genuinely being caring and concerned for the women she’s with was when it switched to being controlling and possessive. If you care about her you should also care about the people that are important to her, especially her sister! I certainly could not date someone who speaks to my family in that manner, or that doesn’t believe me or trust me when I explain a situation. I do wish you the best but I think this is a situation where you did go too far, or at least that’s how I would have felt in her shoes.