I wasn't able to replicate the slime quest problem. Also I'm not quite sure where you're running into the problem, since there aren't lime slimes. But after you give him the 3 lemon slimes you have to go back to get the next quest. And the last quest is where you give him 4 blueberry slimes and then you don't see him after that.
But I was able to fix the other two errors at least! They should be in the next patch. Thank you very much for the reports!