Hi,@Marcus Lund (mlund@crowdergulf.com)
Thanks for posting your question in the Microsoft Q&A forum.
To synchronize your Active Directory (AD) to Office 365, you should now upgrade the old AD sync tool to the latest version of Microsoft Entra Connect.
For specific upgrades you can refer to this given URL: Microsoft Entra Connect: Upgrade from a previous version - Microsoft Entra ID | Microsoft Learn
You can download Microsoft Entra Connect through this URL: What is Microsoft Entra Connect and Connect Health. - Microsoft Entra ID | Microsoft Learn
"my exchange EAC for 365 shows no mailboxes" is normal. Once you have completed the migration and assigned licenses to the users, you will be able to see their mailboxes show as ‘Office365“ in the EAC.