BB1:  My scrollsaw is the DeWalt 20" Variable speed model.  I really like the saw and while I know there are more "pro" models out there, I have used this saw for a number of years and just like it.  As for the oscillating Spindle sander, it is a Ridgid EB4424 Oscillating Edge Belt/Spindle Sander.  I like it because it also has the edge belt sander attachment.  The dust collection is a bit lacking but is meets my needs.  I've had it maybe 10 years and it's still going strong.

As for the double stick tape, as the adhesive ages, it set up and gets more difficult to separate the pieces.  I try to do all that kind of work in a single session so that nothing sits over night or longer.  The more delicate the piece, the more I want it off the tape. I have broken a number of small parts in the past because I let them set up on the tape too long.  Now perhaps it's the brand I use but in my experience, adhesive gets stronger as it sets up longer.  Even spray adhesive works that way.  Also,  make sure the surfaces are not covered in saw dust since that will interfere with adhesion. Sometimes, depending on the project and the species of wood used,  I wipe down parts with mineral spirits or acetone to insure good adhesion.

Hope this all helps.