The H310 does not support tape devices, so yes you need a separate adapter for the tape drive, which is better for performance reasons as well. 
My existing server (Poweredge 1800) is due replacement.  I have an existing PowerVault LTO4-120HH that is working fine (and has all my backups).  I wish to purchase a new T320 with a PERC H200 controller.  Will this configuration allow my to remove the PowerVault from the old 1800 and connect it to the T320?  (Fully understanding I need to reinstall backup software, etc).  Can I make this change without needing to purchase additional HBA SAS card?  TIA
Does Perc H200 support PowerVault LTO4-120HH