I just wonder if Drobo 5D is the issue?
All other things being equal, typically a storage device that uses software-based RAID (including Drobo and virtually all NAS and SAN devices targeted toward the small office/home office market) will be slower than a single hard disk. The transfer rates of both USB 3.0 and Thunderbolt far exceed the read/write speed of both the Seagate drive and the Drobo, so in your case are not a limiting factor.If you have space on your Seagate you might want to try copying your catalog there temporarily to see if your performance improves.
What kind of processor and how much RAM do you have? Both can affect performance.
Those specs are more than enough for instant performance, you have something wrong. Start eliminating variables. If you have someone local for hands-on have them over, there's probably one or more things out of the picture. That's not anything normal.
I found the following setup to work best for me. Mac Pro, internal SSD, LaCie 3T HD, and a Pegasus 4TB raid--all Thunderbolt. The Pegasus is controlled by the Time Machine. Moving to all SSD or 10K drives will improved speed, but, at a cost.
Now I have this current Drobo 5D set up for two simultaneous drive failures. Meaning I could have up to two drive to fail and I could still run. Wondering if that is slowing the performance down?
Which drives do you have in the Drobo 5D?