Your addressbook is in the profile. It will remain unless you delete the profile. Also, uninstalling and reinstalling rarely fixes problems and may cause other problems. For your safety, I suggest making a backup of profile if you are not familiar with uninstalls and reinstalls. You can do that with these steps - that copies everything (addressbook, settings, all accounts):

1. ensure thunderbird is not running
2. enter %appdata% in search window on task bar and press Enter key
3. this should open windows file explorer in Appdata\roaming folder
4. highlight the Thunderbird folder and copy to another folder for temporary safekeeping.

There two files for addressbook. one is named abook.sqlite and the other is history.sqlite

In fact all of your data is in a profile directory that is separate from the actual program. https://support.mozilla.org/en-US/kb/profiles-where-thunderbird-stores-user-data