Is it ok that my boyfriend is having lunch with a girl whom he used to like and she liked him back?

Lucpol
Sorry this is a long one, please read this before I explain my question, so you can have a better idea of why I am so uncomfortable with this. Here it goes: Around 9 years ago my boyfriend and that woman used to like each other (as told by him to me), we didn't know each other by then. Now they're around 28 and my boyfriend and I have been together for almost 8 years. A year and a half ago he confessed me that he had coffee with her without telling me, which I did not pay much attention to, but later on, I found she suddenly started going to the same gym he is without her actually living any close to that area, but some weeks later she stopped going. Also, when my boyfriend first started dating me, a friend of his told me that the other woman was saying bad things about me out of nowhere (I am a great girlfriend and I am very nice with my boyfriend, plus I had never dated anyone before so I was extremely pure and sweet all the time with him) so there's was no reason for her to talk trash about me back then, so I think that was a clear indicator of huge jealousy from her.

So, let's talk about Today, a few days ago my boyfriend got drunk and saw a tag of him by the other woman on facebook suggesting him to go out together and he texted the other woman and a friend of her to go for lunch without me. I find it not really wrong, but I have a strong feeling she keeps liking him til today, is just him for some reason has never taken that to the next level.

I think is disappointing and disrespectful from him to go see a girl who he knows talked bad about me in our early days and whom with he shared a romantic past even though they never dated. I need to do something with this relationship, we've been together for 8 years and he's never proposing and never talking about the future, he's been my only boyfriend ever, I feel like time is passing and I don't if this man is wasting my time even though I love him deeply. And now this awkward lunch thing. Please help me.
Is it ok that my boyfriend is having lunch with a girl whom he used to like and she liked him back?
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