No, a Dodge Avenger will run without oil pressure.
A loose wire would cause the horn to stop working on your Dodge Avenger 2.4L engine.
If the grinding sound seems to be coming from the speedometer and grinds faster as your speed increases, the likely cause is the speedometer cable. At least some 1990 Dodge trucks (mine) have electric speedometers Len
Dodge Avenger was created in 1995.
Check the brakes for worn pads. The pad backer scraping the rotor is the most common cause of this type of noise.
Bearing going bad?
The 2010 Dodge Avenger has 16 valves.
The 2014 Dodge Avenger has 16 valves.
The 2009 Dodge Avenger has 16 valves.
The 2013 Dodge Avenger has 16 valves.
The 2011 Dodge Avenger has 16 valves.
The 2012 Dodge Avenger has 16 valves.