Let me try to answer your questions:
Answer for Question 1: You can migrate all of the databases to a logical Azure SQL server using Azure Database Migration Service as explained on this tutorial. But before you try to migrate them perform an assessment first as mentioned on the tutorial.
Answer for Question 2: If you migrate them to Azure SQL DTU model, no license fees are paid. DTU model does not have licensing costs.
Answer for Question 3: You can use DMA tool to help you assess the recommended SKU for each database and then use Azure SQL pricing web site to estimate monthly costs. Make use of Azure SQL reservations to save money as explained here. You can also scale down resources during non-business hours to save money even further.