Hello David,
I would take that computer running outlook offline and make a backup first.
Second, you should be able to re-activate your account within 60 days of closing it out.
Tap or click here for more info regarding Microsoft accounts and how to re-activate a closed account within 60 days of closure.
I am at a loss at how the account was closed when deleting a profile on a Windows computer. If you can lend any more insight I would like to try to recreate this scenario.