There is a plastic folding stability leg kit for use with the Jetboil canisters. There is also a folding platform that attaches to the burner for the pot to sit on. I've never had any problem with stability, however I'm usually at a picnic table in a campground or on solid ground. I'm not clipped onto the side of a mountain or anything crazy like that. I do exercise some basic common sense, such as not sitting at the picnic table (with my legs underneath the table) while I'm cooking.
The larger Coleman or MSR canisters have a larger footprint themselves and I don't use the plastic stability legs for them. Still, I show some respect for the situation and avoid putting myself in a dangerous position.
The plastic lid on my 1.5L pot fits tightly. I don't think it has ever come off in my pannier, although it might not have a chance because of the way it's squeezed in. I can imagine some lids that loose their shape or aren't manufactured as cleanly. Mine works fine, though.