Gf (31F) puts me (31M) in uncomfortable situations and then calls me insecure / controlling

A couple situations have happened in our relationship where I have communicated to my gf that a particular situation makes me uncomfortable and every time I get the same response that I am being insecure or I am being controlling.
Now, I am Indian and she is Canadian and maybe this is a cultural gap. So, I am looking for advice from people from US / Canada / Western culture background if any of the following situations will make you uncomfortable
Situation 1: She went to a ski cabin share without me. The guy she was hooking up with before I met her was also there. They hung out the entire time and he asked her to give him rides to the resort etc. Then in the evening, she decided to go into a hot tub just with him and another guy. He is still very much single and has been actively pursuing her. I told her I am okay with hanging out and rides to resort but the hot-tub makes me uncomfortable. She basically told me to get over it as its not a big deal and asked me to work on my insecurity.
Situation 2: She went to a clothing optional bathhouse. I was unaware it was clothing optional, apparently so was she. Amongst the group that she went with, everyone except her went nude into the bathhouse. She kept her bikini on but the place is Coed, so there were other guys that were fully naked. She didn?t tell me about this right after but waited a day or so to tell me. I told her I didn?t like it and she should have told me right away. She said she doesn?t understand why she needs to report things right away and she doesn?t think nudity is big problem. Once again, she told me to work on my insecurity.
Situation 3: A co-worker approached her to ask her out. She didn?t tell him that she was dating me. And then she shared her phone number with this guy and he has been texting her about how her weekend was etc. I told her she should have slipped me into the conversation by saying that I am hanging with my bf this weekend. But again she said I am being controlling.
Situation 4: We broke up briefly and she told all her friends that we were broken up. Then we patched up but she never actively told anyone we were back together. I never brought it up to her
I think these situations make me uncomfortable. I am open to changing but don?t understand whether my feelings are valid or if this is a cultural difference.
How should I proceed?
TLDR - gf is getting into situations that makes me uncomfortable. Then calls me insecure / controlling. And I don?t know how to proceed next.


Source.