That black plastic thing on top is most likely a flashlight holder. Nothing to do with the systems instilation. The other thing is a terminal cup. The black terminal is for the negative and the red one is for your positive.
You may be overthinking your rights and what privateproperty actually mean...
A call was placed for burglery. The owner did not identify himself. Imediate probable cause.
granted he was arrested for being a Fawking moron.
Probable cause is the EXCEPTION to needing a warrant. You DO NOT need a warrant if there is probable cause to believe something illegal is occurring.
You may want to read up on Terry v. Ohio...
Man my old MT10 had like zero cone area... Must not have any potential to get loud.
Like I said, finding out the VD of the driver will help better understand an estimate on output potential.