Well first time here. Need some help bad

I just replaced the RAD on my wife's 95 sidekick. She bought it about
2 weeks ago and the guy hat put some JB weld on it and it let go. So
easy to fix , bought a new Rad and installed it.
Only two wires were connected to the rad mounts for some after market
fog lights the guy had installed. I disconnected the battery and
replaced the Rad with out a problem. That is until I tried to start
it again. Turn the Key and the lights come on the fuel pump starts
put the engine does not turn over. Not even a click. So I search out
for electrical problems. Went as far as takin gthe fog light out of
the system but still nothing. There was a siren that was
disconnected. I look for the alarm box and find a suzuki alarm box
with the main harness disconnected. Just a 12V, Grnd, and one black
wire that heads to the LED on the dash and some white wires. The box
itself is hanging by a small chunk of the original bracket. Take it
down to take a look and it just started smoking. Disconnected teh 12v
and grnd and the thing is pretty much toast. Could this be my
problem, that the alarm needs to be in the system. Even though the
harness was tied up in under the dash and not connected.
Also when I put a screwdriver over the leads of the starter it turns
but does not engage.
Any help would be great