Trying to save my couple

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Hello /adv/,

So my girlfriend and I have been in a long distance relationship for 2 years now and we've gone through a rough stretch lately. Lack of communication on both sides and constant arguing basically. It doesn't help that she met a guy at work that she started developing feelings for. Last week she even told me we were done, but backtracked on her decision a couple of days ago. However, she doesn't want me to call her ''Hun'', ''babe'' or other surnames like that for now as she supposedly want to take it slow.

Also, as a side note, I had plans to go have a drink with a (female) friend of mine when my girlfriend originally left me in an attempt to stop thinking about my breakup for a while and once she found out she started acting very jealous.

Bottom line is, I need some advice on how to go back to how things were before our relationship fell apart. I was thinking about having a talk with her on why she wants to take things slow and whatnot, but if anyone has any better ideas, I'm all ears.

Apologies in advance for any run-on sentences you might encounter along the way