Gear shift light stays on when the car is off can this drain battery?

What is your question?

2005 Lincoln Aviator, has a battery that is about a year old. Can jumpstart, but will not start even after running car for 30 minutes. Small red light on gear shift is not turning off so it is draining the battery.

What makes this problem better or worse?

It is getting harder to jump since gear light won’t shut off

How long has your 2005 Lincoln Aviator had this problem?

A few days