Circuit worked briefly after replacing GFCI, but stoppped

I recently had an issue with the outlets on a couple of circuits not working. After testing, I was able to determine that the issue was a faulty GFCI and replaced it. The outlets were working with no problem.

A couple of days later, the same outlets stopped working. When testing them this time, I was able to find that one of them was causing the GFCI to trip. I fixed that and that outlet works now, but the others still didn't.

I checked the GFCI outlet to make sure everything was still connected and one of the load wires had come out, so I put that back and tested it, but the outlets still don't work.

The GFCI outlet tests, resets, and works when something is plugged in. Testing with a non contact voltage tester doesn't register anything, but I haven't tried a multimeter yet.

I checked the circuit breaker to make sure that it wasn't tripped and that it was turned completely on.

What's the likelihood that the next outlet in the circuit is causing the issue? It's not showing anything with the voltage tester either, but since the GFCI isn't either and still works, I'm not sure how much weight that holds. Any ideas about what to check next?

Edit: Thanks for the quick responses. I replaced the GFCI because it flat out wasn't working. It wasn't that it would reset immediately, the buttons just didn't do anything