yes your previous set up will work but be sure the new amp does not require a larger main power wire, like 8 gauge to 4 gauge.
this is a good time to inspect connections for insulation that is warn or broken.
Any type of wire will do, it doesnt really matter. Just make sure you are using the right guage.
Max wattage:
1000 watts 8guage
1500 watts 4guage
0ver 2000 0guage