Originally Posted by
Iride01
You said your chain is "well worn". If so, then maybe it can't engage the cogs correctly. That can be your shifting issue. And if you've run a worn chain for long, then some of the rear sprockets and chain wheels might be worn too which will also affect how it shifts. So anything else you do might just be a very temporary fix.
This makes sense. I have worn out cogs before, and these don't seem worn to my eye, but the chain is, as measured.