Bills is right and also aftermarket alarms and starters can casue issues with the harness.Disconnect it if it is aftermarket and try again. also was it an evap syatem large leak or small? small auto parts stores dont have the proper equipment to tell you this.large=gas cap. small= cracking in evap hose(good luck finding it) this would cause your car to lose fuel pressure and thus not allow the car to start remotely.have a fuel pressure leak down test perforemd just to be sure(needs about 48 psi and should hold it for hours.as for the abs and trac lights have your front and rear wheel bearings and abs wires checked for end play.if theres play in the bearing it would cause this to happen beacause the tone ring inside the hub unit isnt sending proper signal.But it doesnt have to have play to be bad either.is the car making any strange growling noises when driving?usualy starts around 35 mph but can be sooner.the noise will go away when steering one way and get louder the other(if only ones bad)these are easy things to find if you know what your looking for.let me know if it helps you at all