If you have another USB docking cable, try it to rule out faulty cable. I don't think that's the problem, because your iPod says "Connected" and "Do not disconnect" on its screen, which indicates a data connection. But it doesn't hurt to try...
As a test, shut down (power off) the iMac and disconnect all USB devices. You can leave standard USB keyboard/mouse connected, if used. Do a Reset (restart) on the iPod
Learn how to reset your iPod - Apple Support (see section iPod with a click wheel)
Start up iMac, run iTunes, and connect iPod to a direct USB port on the iMac, by itself. Try more than one USB port. This is to see if there is interference between connected USB devices. If there is no change, start up the iMac in Safe Mode
Try safe mode if your Mac doesn't finish starting up - Apple Support
In Safe Mode, third-party system extensions (like device drivers) are not loaded. Also, third-party background processes that auto-start at login do not run. Run iTunes and connect the iPod. This is to see if third-party software is interfering with iTunes recognizing the iPod. If the iPod is now recognized, you'll need to find the guilty piece of software. Post back for some tips, if this is the problem.
If the iPod is still not recognized, I would reinstall iTunes. Download it here
https://www.apple.com/itunes/
and install it over your current installation.