just tie the two ends of the wire together at one end, then measure the resistance at the other end using any cheap pocket DMM?
the wires have a known good resistance. if the measured resistance is in the nominal range, then you know they're good. if the resistance is higher than expected, then you know there are breaks / corrosion. if it's a lot lower than expected, there are shorts somewhere.
If you insist on applying a load AND measuring under load, then you should use one of those cheap panel meters which can measure current and voltage, but they might not be too accurate. it's possible to roll your own using an MCU and an ADC which can be more accurate. then you fit everything in a small package and call it done. Even if you want to test the circuit under load, it's way easier to short one end of the cable and work at the other, rather than applying a PSU to one end and testing at the other end. the results will be the same.