You shouldn't take your steri strips off unless your dr explicitly instructs you too. You can trim the loose edges that have lost their stickiness. Eventually the whole strip will be loose and come right off.
Unless you have VISIBLE EXTERNAL STITCHES then the steri strips (or dermabond glue, for some) are the only thing holding the epidermis (top layer of skin) closed. There are absorbable sutures holding the muscle and fascia together, and possibly an uninterrupted running stitch with something very fine and absorbable, but using strips or glue ensures a smoother scar line than external suturing.
You may have some suture "grow out" before it has time to absorb, and you can trim it close to the skin with clean scissors. It may be green, blue, or black.
As far as staples, its uncommon to use them after laparoscopic surgery unless the patient is very large. Strictly follow your Dr's instructions regarding their care.
All of the above is true for any surgery, not just Lap Band. And I'm a RN, so this comes from my experience and education, not just opinion. And like with everything else on this forum you're doctors advice supersedes anything anyone else says!