Id be interested to see if another wired client has the same issue. It could be the firestick in general. IMHO the amazon ad delivery tool is a sub par device. But it could be something going on with your server as well. 15ms seek time is a little high. Average for spinning drives is 8-9ms. Im not sure if thats enough to cause your issues.
To test, create a folder on your ssd and put a movie or something in there. Add that folder in channels and then try your seeking again. If it works perfectly then you know your drive is an issue. If it still has the problem, do yourself a favor and pick up an appletv.
Correct. Traffic between 2 devices on the same switch stays within that switch. Nothing to do with your issue but if it were me i would simplify your network. Remove the router in bridge mode and connect a switch to your existing router. Then hang all of your wired devices off of that.