About Azure SQL Database, it allows you to create one free Azure SQL Server database per region, it reverts to Standard after 365 days. That is what I know ever since you use PowerShell to create it.
New-AzureRmSqlDatabase -DatabaseName $DatabaseName -ServerName $sqlServer.ServerName
-ResourceGroupName $resourceGroup.ResourceGroupName -Edition 'Free'
-RequestedServiceObjectiveName 'Free'
Not all regions support it also. This works only for the following regions, for now:
Location DisplayName
-------- -------------------
australiaeast Australia East
australiasoutheast Australia Southeast
centralindia Central India
eastasia East Asia
francecentral France Central
japaneast Japan East
japanwest Japan West
koreacentral Korea Central
koreasouth Korea South
northcentralus North Central US
northeurope North Europe
southeastasia Southeast Asia
southindia South India
uksouth UK South
ukwest UK West
westcentralus West Central US
westeurope West Europe
westindia West India
westus2 West US 2
South India and West India regions allow to create free databases.