What should I do about my jealous girlfriend?

My girlfriend is very jealous. We have dated for over a year and recently she updated all of her social media photos to be photos of us as a couple and she tagged me in everything. I have a high paying but private job and this makes me uncomfortable - when I told her this she implied I have something to hide like secret girls. Recently I had a call with a woman at work from home and this woman messaged me to say that my girlfriend contacted her demanding to know who she was. Apparently my girlfriend broke into my phone when I wasn't around and snooped through my contact details and then began contacting people she wasn't familiar with. This has put me in a very bad situation as the woman at work is very uncomfortable. My girlfriend was very aggressive in her messages and she called her multiple times as well. I am afraid to actually lose my job over this if it gets reported to HR. But my girlfriend insists its my fault for not explaining why I used my phone to contact "pretty girls from work" (she didn't like the girls WhatsApp photo as she thinks its a pretty girl). She also messages my mom a lot on facebook implying we will be engaged soon but I have never said this. I do love her and I have tried my best to assure her she has nothing to worry about, but at this point I feel nothing I say is enough and if we do get married, I will be stuck for life being accused of cheating and being at risk of losing jobs if I interact with anyone at all. Ironically it is making me look at other women as I fantasize about how peaceful it may be with someone else. Is there anything I can do?

What should I do about my jealous girlfriend?
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