Hot burned wire most likely means you have either a bad connection or you have it wired incorrectly. Double-check the wiring diagram, first. Then, check the connector on each wire/cable. Be sure they are tight and secure.
There are a ton of threads of the forum about how to check a solenoid. Use the "Search" feature at the top of the page and you'll find the info. It's very easy to do.
I'm not sure if your cart as a v-glide, but if it does take a look at this thread.
https://www.buggiesgonewild.com/showthread.php?t=123999
A picture of your wiring would be very helpful!
Hope this works for you.