You have both a regular spider(pic 1 is a small jumping spider) a spider mite could hide on his eye they're so small!
Jumpers don't spin webs, the webbing In your other pics looks very much like spider mite web!
Kudos on the pic showing it!
In my experience, combating them is basically a waste of time, and money if you use chems, not only that, but the chems needed are quite likely to burn your plants up...
Insecticide will NOT work! Mites are arachnids, you'd need a miticide... Again, you better really love those plants to justify the price!
Believe it or not... The best cure for mites is going to be high humidity and low temps, there's any number of ways to do this, literally thousands of pages are online about combating them, and combat is the word!
The truth is, these nasty buggers are everywhere this time of the year!
Every breeze that blows by... Carries a mite or 3!
They're amazingly resilient creatures, you can draw your own conclusions, but I've decided it's easier to live with them than fret about them... Keep an eye out, be proactive, you can keep them down to a minimum, maybe even convince yourself there gone... But just keep an eye out...