Bug/Issue Initiation Quest Problems?

I got the initiation quest to be part of the adventurer's guild, but since I went a little deeper than normal in the mines, it's not filling out?

No matter what floor I'm on, no matter how many slimes I kill, the game keeps the quest at 0/10. Are there any fixes to this?

 

Well this is a known bug. Its asking for slime but in truth it wants something else. For me it changed rock crab when I killed my first one. For someone else I read it was dust sprites. I have yet to get an answer on how to tell what it is until you kill the first monster that counts then the quest updates to what it wants you to kill.

 

I guess I'll just run through the mines killing everything again

 

It's a known issue.
I'd recommend using Koihime Nakamura's patcher to fix it: https://community.playstarbound.com/threads/unofficial-stardew-valley-patch-v0-1-0.140405/