It sounds like it could indeed be spider mites. This video will show you spider mites at work:
http://plantgasm.com/archives/.... This site has a good picture of the webs:
http://www.marinrose.org/spide... and there is more information on the control of spider mites here:
http://www.ext.colostate.edu/p... . Please let us know if the web is the same as you are seeing.
The eggs look like they could possibly be snail eggs. I had a bad infestation of these earlier this year in my potted plants and it looked similar.
