I too have also seen 5% better mpg results with 91octane vs 87 octane. 3 times I have done the experiment, Normal driving, ECO driving with no wringing out, and even tried wringing it out.
The first fill of 91 octane after a tank of 87 gets a small result.
The second fill of 91octane, on top...
CX-5 applies the rear brakes first to prevent nosedive and improve vehicle dynamics. Ratio of the front to rear application is determined by the current weight/occupancy of the vehicle.
My first questions would be: What caused a #4 misfire? How many miles are on the plugs?
First, I would examine the wiring to the #4 coil, examine the electrical connector, unplug and examine the conductors of the electrical connector.
If all appeared normal, I would then proceed to remove...
Reverse lights on my 1st gen cx5, swapped to the matching number led bulbs. There are different bulbs for the sub models of lenses used, so forgive me as I don't want to quote a specific part number because of this.
Not normal.
Your model has a separate Bluetooth module that is attached to the head unit. You can try unplugging and reconnecting the module for possible dirty electrical contacts, or replace it.
To answer the OP, the park interlock switch is $60ish and there are youtube videos showing replacement.
https://www.youtube.com/results?search_query=cx5+wont+turn+off
You are correct, there is a bit of assumption here, however it is based on observing the most common no-start issues with the CX-5 (park interlock switch, and Brake pedal switch), and It makes the most logical sense given his current issue.
Is it possible that aftermarket door speakers were installed, and window is hitting the speaker.
Perhaps you could lower the window while placing hand on the speaker grill and see if thump/snap is isolated to that area?
What I think has happened, is the PARK switch in the transmission shifter is defective. Your car no longer thinks you have the car in PARK, and it will not shut down, causing the battery to run down.
You can try to push the shifter handle forward or sideways against its limits while in PARK...