Okay so, weird question, I've been getting like one or two a day for the last 2 days. Not bad, right? Well, I'm not getting a random event or anything. They just kinda pop up. I was wondering why? Can clicking the flowers spawn random events inside the little box? Am I just really lucky?

It's possible you're just missing the random event itself, especially if you open a lot of tabs regularly. I got two invites so far today and only saw the actual RE for one, but I did definitely see one RE

Yeah, I've noticed especially sometimes if the site is lagging or if you double-clicked or refreshed the page very quickly, it can be easy to miss seeing the actual RE, but that's probably where it came from. Just a random event that went unnoticed.