After bringing my chilis inside after the summer they all suffer from a bug that in Swedish is called "spinn" or "spinnkvalster", don't know in English but signs are spots on the leaves and spider-net like threads.

I had Aphids (still have on some) but fought those off by spraying with tobacco-water and soap-water.
That didn't help for the "spinn" though.

Also, no bugs, but two of my bonchis have a bit of mold on the surface of the soil.

Should I change the soil and keep spraying the plants?
Must I remove all traces of old soil from the roots, ie clean them very carefully or is it enough to wash of most of it?
Is there another/better method?

Thanks!

/Mats