Since you are not seeing folders in Quarantine then you have a very old BPS Pro version installed. BPS Pro 11.2 released on 10-11-2015 (about 1 year ago) was the first BPS Pro version where Quarantine was changed to mirror the Source directory structure (create folders in the quarantine folder). Since you do not have any current file backups that are usable and since you cannot access the Xternal Tools Form then you are going to have to do things the old fashioned way.
1. Use FTP and rename the /bulletproof-security/ plugin folder to /_bulletproof-security/.
2. Download the WordPress zip file and unzip it on your computer: https://wordpress.org/download/
3. Using FTP or your Web Host Control Panel File Manager:
Upload the entire /wp-content folder to your website.
Upload the entire /wp-admin folder to your website.
Upload the entire /wp-includes folder to your website.
Upload all the WordPress Core root files to your website root folder. There are somewhere around 17 WordPress root files. index.php, wp-activate.php, wp-app.php, wp-blog-header.php, etc.
4. Use the Xternal Tools Form to deactivate AutoRestore.
5. Rename the /_bulletproof-security/ plugin folder to /bulletproof-security/.
6. IMPORTANT!!! When you login to your website do NOT restore files in Quarantine and instead delete them.