oops - posted before i meant to
they are MAJOR waste producers. so you'll definately want to watch your levels. they're recommended for 3-5 gal each if i recall correctly.
you'll also want to make sure you have a lot of Ca available for nice strong shells.
brigs will be safe for plants, but anything else pretty much will make quick work of your plants. i'd say that if you've had them for a few days, and your plants are still there, you most likely have brigs.
i'm not sure what the "air issue" you refer to is. however, the snails do have siphons that they can use to breathe air if there's not enough in the water (or even if they just feel like it).
another thing to keep in mind is that you'll want to have either a really good seal on your tank (the snails are known to be good escape artists) or keep your water level 2-4 inches below the rim.
the eggs will be above water, and easily visible, so infestation isn't likely. you can either dispose of the eggs or scrape them off and drop them in the water for the snails to eat. they won't hatch if you put them under water.
wow - i started rambling there. let me know if you need or want any additional clarification

hope that info helped without being too much