Most DVD rewriters are made by NEC and generally are, in part, its lower spec model used by other manufacturers. Therefore, it makes sense to go for a NEC model from the out set. The exception is the excellent Pioneer 108 that can read DVD-RAM also.
I would recommend either NEC model 3500A or 3520A (I’ve order two of these from Ebuyer – see link)
The enclosure I would recommend is Belkin’s as it comes with a lifetime guarantee. It can be used for all internal devices, e.g., CD, DVD, and HDD. You get the enclosure, power supply unit and a very long and useful USB cable.
Belkin Hi-Speed USB 2.0 External Drive Enclosure Kit £47.28 Inc VAT click here
NEC ND3520A 16x DVD R/RW Dual Layer Internal IDE Beige OEM £46.99 Inc VAT click here
For DVD copying there is only two pieces of software you need. Slysoft’s AnyDVD and CloneDVD at click here. AnyDVD has lifetime free upgrades. CloneDVD is technically Elaborates software.
Why do you not do some of this using internal devices?