Webbing sounds like it might be spider mites. They make webs. They happen when the air is dry, like indoors in the winter.
They hate to be wet so a twice daily misting will eventually get rid of them.
The white things could possibly be mealies. Get a q-tip, dip it in rubbing alcohol and dab each one of them to get rid of them...the rubbing alcohol dissolves their soft little bodies.
Hope some of this helps!