JacobWalla

It depends on what type of program you're applying to and the specific school. Lots of places use GRE scores as cutoffs to narrow down their applicant pool, so you may want to check the GRE averages of the programs you applied to (they usually post these). If you're around (or above) their average, then it'll come down to research experience (which you seem to have) and fit with the program + the program's current needs (you may fit well with a professor, but if they're lower priority for accepting students that year then it may not matter, unfortunately). In a vacuum, you'd seem to have good odds at universities that average around your GRE scores, but there's a lot of extra behind-the-scenes stuff that is typically beyond your control.

Totally understand, I was in the same position last year. I'm helping to coordinate the event and I was told that the last invites should have gone out this morning, so I don't think there will be any more. Stay positive though, it's early in the invitation season! I know how stressful this process is

I believe our invites were sent by a faculty member who is coordinating the event. Some may have also heard from their POI, but it was primarily one faculty member who sent the initial invitation.