Red and white are audio left and right.
The barrel has how many pins (or receptacles for pins) ? Could it be a DIN audio socket ? Do not try applying power to it until identified.
There may also be a single terminal or trailing wire to provide an earth link between the turntable and amplifier.
Power is likely to be via a captive cable, with a wall plug on the end, surely. Though I fond a thread that suggested that this turntable ran on 12 volts power -- see if there are any labels on the turntable base suggesting this.
Take a picture of the barrel socket and post it on Facebook or You Tube or PhotoBucket and post a link here.
Also visit http://www.vinylengine.com/