Best Adhesive tape for Droid/Devices?

I have a working Droid with a faulty Ear speaker which I'm hoping to replace with an Older Droid that was bricked.

Upon taking apart the older phone I notice that a lot of the pieces are adhered using some type of adhesive/tape.

Since I havent been able to find any adhesive strips specific for the Droid 1, what would be the best way to go about this?

Should I attempt to use the preexisting adhesive and hope it sticks? Remove the old adhesive?

Any recommended adhesive strips for Phones/Devices? Would Epoxy be recommended?

Thanks for any help.