I don't quite understand what you mean with "the other plug", but if you connect your external DVD writer to any USB port, the computer must recognize it and for Windows there is no need to install driver for optical drives.
Probably if you don't want to be left with no free USB ports, you can purchase a USB hub, preferable if you invest in one with external power source like this one:
USB 2 0 HUB Powered 7 Port High Speed free AC Adapter
Hope it helps!
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