LadKit installs as a Joomla component using the Joomla Extension Manager in the usual way. No database tables are created.
To uninstall it, use the uninstall option in the Joomla Extension Manager.
LadKit works with the Joomla Update System and you will be notified of available updates in the Joomla control panel. Updates can be installed using the Joomla Extensions: Update page.
If you don't want to be notified about updates, you can selectively disable update notifications on the Extensions: Update Sites page.
By default Joomla checks for updates every six hours but you can change this by altering the Update Caching parameter in Installer: Options. If you set Update Caching to zero, Joomla checks for updates every time you visit the control panel, which is usually excessive.