Call FitBit. They will check to see if it is still within warranty. Even if it isn't, they may offer you a discount on a new FitBit. That's how I got my Charge 2.
I have run into this when the backup I was trying to restore from was from a phone with a newer version of iOS than what was running on the phone I was restoring to. Try setting it up as a new phone first, then update iOS to the latest version. Once the phone has been updated, you should then be able to restore it from the backup.
There are two metal tabs (visible in one of the Step 6 photos) that snap into two plastic clips next to the battery. They should release as you gently lift the bottom cover. Be sure to press them back together after reassembly.