I have replaced my battery. You most likely will need more adhesive. I just plan on using some double sided tape as the original glue was too tough in case I have to open it again. You can just buy a case for it after. It will keep everything nice and tight on there.
Global Direct Parts seems to have OEM parts. Don't go with eBay and stuff. The ones I saw are cheap knockoffs that don't work right (even when they say OEM).
I would recommend you unplug the battery first and then try to power it on a couple times before proceeding. Don't want to short anything out or even worse, a battery on fire.