What happened, Rachel? Don't know if this will be helpful, but here are a couple tips for using SAS:
I use the Steam-A-Seam 2 because of its light weight, but I always fuse the "first" sticky side to the fabric with an iron (like you do with most other fusibles). If you just press it down with your hand, it really doesn't hold well to the fabric pieces while you're cutting and assembling things.
If you have a problem with SAS paper falling off when you don't want it to, perhaps you're fusing the wrong side first. One of the papers seems to come off very easily; the other holds a little better and should be used for drawing your shape before cutting. Try a little test peel before you use it; the paper that comes off easily is the one you should remove first.
Let us know if we can help you!