I have the standalone version of 1Password 7 installed on my Mac, with the vault being kept on Dropbox.
I backed the Mac up today and restored to factory default, then installed Mojave. I reinstalled 1Password from the website (not the Mac Store) and connected it to the same vault as before.
Unfortunately, the vault is stuck in Read Only mode. The license doesn't seem to be "tied to" the vault. I have access to the backup, I can grab the license file from before, but I don't know where it's kept of what it's named.
Like others in the forums, I have no email from AgileBits or FastSpring, nor a charge on my bank account. I know I must have a valid license though, because it worked on my system prior to the reformat.
1Password Version: 1Password 7 Version 7.2.1 (70201002)
Extension Version: 220.127.116.11
OS Version: macOS Mojave 10.14
Sync Type: Dropbox