Here is one way to troubleshoot the issue.
1. Disconnect the trailer plug from the vehicle. If the blinkers and brake lights work on the vehicle, that's good. If not, locate, check, and replace the fuses on the vehicle.
2. Now that the vehicle is working, use a simple test light to test the plug on the vehicle. If you let us know how many pins are in your plug, we can tell you which pins to test. If there is power to the plug, that's good. If not, there may be a second set of fuses on your vehicle for the trailer plug that are blown.
3. Now that the vehicle and the trailer plug on the vehicle are working, replace the wires on the trailer. Wiring kits are available from your local RV dealer, autoparts store, or possible Walmart. The insulation is gone and even though they are taped, they will be nothing but a headache from now on. Water intrusion from rain or puddle splashes could get in and short the wires again.