The screen of my iPod has gone all red.

Have you tried a power off by holding the power button until the red slider appears, swipe to off. Wait a couple minutes, power back up. Then reset holding the power and home buttons until the apple logo appears and the iPad restarts. If this doesn't make any changes, best bet is a visit to an Apple genius bar to have the techs check it out.

Has the iPad been dropped?

 Cheers, Tom 😉

In that case you probably need to take it in for testing to see exactly what is wrong...if you do go to the genius bar, call ahead and make an appointment...they get very busy and it will save frustration in standing around waiting for someone to get free.

"Not to my knowledge."

Hmmm. Are you being completely open with us?

If it was dropped by friend or family, other threads here on this phenomemna indicate slapping it on the back a couple of times with increasing intensity caused the screen to return to normal....but no comment on how long it remained normal. Do a search on this forum for "red screen."

If you can state with certainty that it was not dropped, and if it is still under extended warranty, and if the Apple store believes you, they may give you a rebuilt one.