The problem here was that your expectations weren’t properly managed, here. I recently changed positions from managing many machines over what the owner confirmed was the largest contiguous single-owner inter-net in the world. Neat.
Anyway, you unfortunately believed that your backup and disaster recovery was being handled, because it may not have been stressed enough for you to fully understand that it was NOT. Don’t be upset about that, as I’ve seen it many times.
When all is said and done, you need a backup system you can rely on, and you need a DR plan that works. When you tested your backups and your DR, as per every best-practice document ever written, you will have noticed problems like Not having a backup, or NOT having a redundant copy of data in case of disaster. You should have been made more aware of these issues as they came up in testing, and it’s not your fault you didn’t know.
Identify who told you your backups and DR were being taken care of, every time you asked as a conscientious follower of best-practice and standards. When providing service and support for ambulances and other emergency crews, and your IT staff was assuring you that, as per the SLA you agreed to with the emergency services, that all their needs were being met by the provider and that you had nothing to worry about, that’s the crew that I’m talking about. It’s okay not to know everything all the time, but you obviously trusted your own internal staff who WILL have been told what services you don’t get, and who didn’t stress it well enough to you, and your trust was badly placed.
Fire your IT staff who lied to you. Digital Ocean will have stressed this well enough, and it’s only your IT staff who didn’t listen. It’s there where the blame lies, and all the recovery pain and expense and risk to life and limb, it’s all on your internal IT staff’s shoulders. Terminate those staff members with cause, because as responsible management if they raised the issues and you didn’t address them, you wouldn’t be complaining today; you’re better than that.