Hi John,

normaly there should be a engine check light in combination with the very loud beep sound. Does the engine check light work when you put ignition ON?

Oil pressure has nothing to do with oil level. Oil pressure is very important for the engine. More important than the right oil level. Take a look in the workshop manual and serach for oil pressure.

Because it's an SRT6 and the alarm sound comes up when you kick down: when was the compressor oil changed last time?

Regards
Markus