You can clone or image the PATA over to the SATA drive. I would use the free Acronis cloning/imaging suite which comes free with any WD or Seagate HD if you have one. Otherwise use free Macrium - Image your system
for maximum freeware flexibility.
With the SATA>SATA move you can just change the port, or if changing the partitions is important clone or image it over, too.
Whenever you clone or image be sure to include MBR and Track0, unplug all unrelated HD's and peripherals. Afterwards unplug all but target HD to start it. If it fails to start make sure SysReserved is marked Active, run Startup Repair 3 Separate Times
Set preferred HD first to boot in BIOS setup. Boot the other using one-time BIOS Boot Menu key.