1 pointThere are no 'known' problems with core updater. All reported problems were fixed and new versions were released. You can download the latest version here. @jmeca did you try my suggestion about updating /tools/cacert.pem ? That should fix your certificate validation issues, and you should be able to update the store.
1 pointYou may want to try this module: https://www.prestashop.com/forums/topic/47173-module-list-of-customer-out-of-stock-registrations/page/2/?tab=comments#comment-3277907