Colis get hot but maybe not that hot depending on the outside temperature of where you live, in the NE, it's very cold here now.
Test the coil with an OHM meter, with everything off, disconnect all the wires (3) to the coil and measure from either one the + or - side terminals with one meter lead and the other lead to the main coil wire lead (center), it should read high, 9 or 10K or higher on the ohm meter, if it reads much lower, it is bad.
On the low side, measure the + and - terminals with one lead of the meter on each, depending on what coil was sold with your kit, it should lead 0.5 ohms or less; hope this helps,,,