Ignition Switch - Remote Start - Alarm System - Lights

I bought this car back in February and it seems the man who I bought it from disabled the ignition switch on the car when he did a shotty install of a Scytek security system. My issues are that I can't start the car with a key, I put the key in and turn it, the dashboard lights turn on and there's a buzzing sound but the engine won't start. I have to use the remote start on the pager that came with the security system.

I would like to be able to start the car with the key because if the security system gets too hot/cold it won't receive the signal and I'm left sitting outside my car(if the system won't disarm) or be stranded in my car with it not being able to start.

Now, I do have some more problems with lights.
My left turn signal light is always on along with my emergency brake light.
When I turn the car on at night and hit the brakes or turn on my headlights the dashboard lights go out (minus the left turn signal and emergency brake light) so I can't see MPH and gas levels. All of that.

I should also mention that I have taken the car into an alarm specialist to get it removed. After about an hour of looking at it he came out and told me that something was wrong with the ignition switch, that the "tumblers weren't getting hot" and that if I did remove the security system then I wouldn't be able to start the car at all.

I feel like if I do get the ignition switch problem taken care of and can remove the security system then the lights may be fine due to the power it's draining from the rest of the vehicle.