Just because there are no bubbles doesn't mean nothing's going on.
Give it a taste. If it's sweet then you still have malt in there, any other taste would probably be alcoholic in nature and fermentation relatively complete (for the size). In that case it would seems that your yeast ate all the sugar and is going dormant. As soon as you pitch it it'll start up again eating all the new sugar from your wort.
I don't see any problem.
Yes, and do remove the airlock. Just cover it with some foil.
You said your fermentations aren't finishing...how do you know? Are you using a hydrometer or just guessing?
Either way, why would you bottle/keg if the brew is not done?