I have a new router and 5 tb hd that i would love to be able to run through the router so my pc can have a break and not run all night. Can i do this and what is the best way.
No. I suggest you review the requirements to see what hardware will run Plex.
https://support.plex.tv/hc/en-us/sections/200055547-System-Requirements
A hard drive is just storage, not a computer. Something has to run the Plex Server program in order to serve up your media.