Glueing pads: Barge's cement works pretty well. Use the thinnest possible smear on both pieces, let it dry for 10 - 15 minutes, put the pieces together and hammer them. Literally whack them with a rubber mallet. Barge's will work on microcell polyethelene - the hardest glueing job.
For glueing fleece, I don't know. You might try 3M spray contact adhesive - the permanent version. It may not adhere to some pads, however, especially polyethelene foam.
Spot check all adhesives to make sure they don't melt whatever you are trying to glue.
Glue for mini-gator clip. Superglue works well on most plastics if you first clean the parts thoroughly with denatured alcohol. As always, the old standby, epoxy, will stick to almost anything. Don't forget to sand and clean the surfaces first, regardless of what glue you use.