If those are the backups, where is your working file? Surely that has all your information in it? One normally doesn’t work from a backup one just continues in the business file and backs up elsewhere in case the business file is lost?
Otherwise, if you are working from new backups each month/week and the most recent backup is empty, you will need to redo the first few days of June and start with your 31 May file.
Regarding a working file, if I just open manager, it has never opened my business name. I’ve clicked on it multiple times, but I have always had to open the latest backup.