Apps are tied to the account used to purchase them. If they are free, try downloading them using your current account.
Since the account is deleted you cannot try Family Sharing to share the apps from the other account. The only way to do that would be to hope you can reactivate the account and then try Family Sharing.
From: How to delete your Apple ID account - Apple Support
"What happens if I change my mind after I have requested that my account be deleted?
While your request is being processed, you can contact Apple Support [using this link --> Contact Apple for support and service - Apple Support ] with the unique alphanumeric access code you received, and we’ll help you cancel your request. After your account is deleted, Apple can't cancel the request, reopen your account, or restore your data."
To learn how to set up Family Sharing, read this support article --> Set up Family Sharing - Apple Support
- Only lists doing this on an iPhone, iPad, iPod touch and Mac.