I was going to run internet via internet over power adapters not sure if they will work.
We run 2 under ground conduits for power x 2 6mm tps, other data, security.
Was evenually having solar, so was going to run ac back through conduit.

I would avoid the ethernet over power.

Depending on your setup at home, I would recommend running cat5e or cat6 (separate conduit to power) for data.  If you're going to run some cameras from the shed back to the main house, I'd suggest running separate cat5e for those and you can run POE (power over ethernet), so they don't need to be wired into mains.