Hi @Ashwan
a. Backup: I can't see what level of backups, Full backups, transactional log backups, backup history
Azure SQL databases are backed up automatically, Azure SQL Database uses SQL Server technology to create full backups every week, differential backups every 12-24 hours, and transaction log backups every 5 to 10 minutes. When you restore a database, the service determines which full, differential, and transaction log backups need to be restored. You can monitor total backup storage consumption for each backup type (full, differential, transaction log) over time as described in Monitor consumption. see Automated backups - Azure SQL Database for more details
*b. Azure active directory: How do we find AAD group permission granted on this DB? *
If users are in an Azure AD Group and have permissions granted to a specific resource in Azure, for example a VM, you'll have to go to that VM and check the Access Control (IAM) tab to see what permissions the Group has. If you have a ton of role assignments within that resource, you can type the name into the search box at to find the Azure AD group role assignment. Is that what you're asking?

c. Are you able confirm is this DB belongs to Azure Managed SQL or just SQL Database.?
Could you please try this query from https://stackoverflow.com/questions/21582195/how-to-test-if-database-is-hosted-on-sql-azure
d. What do we have replacement of agent service which I need to run jobs update statistics, fragmentation scripts, other scripts.
Please clarify a bit more your ask.
Regards,
Oury