When my alternator failed last summer, I didn't even get a BATT light (the light does work). What we did get was stumbling, poor idle, and other drivability issues as the charge stored in the battery went down until the engine finally died from lack of electrical power to run the systems. The static from the radio during rear defroster operation is likely due to a low system voltage. BTW, the defroster consumes a very large amount of current. Avoid using it and any other extraneous loads until you are certain the battery and alternator are both up to operating standard. When the battery charge runs out, the car stops. Period.
You really need to slap that voltmeter across the battery terminals and see what's happening. Otherwise, we can only guess.
The horn and cruise are likely the clockspring.
The dome light is yet another issue.
Hope this car was bought really cheap. Souns like a real moneypit going into it, especially if you're having a dealership do the work, even with an expected "discount".
Steve
