I might be getting confused with another lighting option (I've only had my Karoq for a week) but I thought you pushed the left-hand stick forward to engage the automatic mode.

I don't have a virtual display, so can't guarantee that the following works:

On the steering wheel - "Press the display menu button, change to vehicle data, scroll to Trip and long press the scroll wheel to reset."

('Stolen' from another Skoda Forum)

Regarding the arrow not going in the same direction as the car, this might be because the map is always pointing north even the car is pointing another direction. Is there an option in the map app that you're using to de-select the 'always pointing north'?

Aldi are selling a car bootliner next Sunday 16th Feb. Not sure how well it will fit, but it can be cut to size/shape and at £5.99 you can't complain https://www.aldi.co.uk/allweather-bootliner/p/099787318682900

First impressions on driving it home:

1. A smoother ride than my previous car (Seat Ateca 4x4).
2. Comfortable!
3. Fuel consumption seems lower than the Ateca, but as I've only done one journey in it I'll give the car the benefit of the doubt (for now).
4. I wish I had bought the car sooner

You can see the standard stuff & available options in a downloadable brochure at this link:
https://www.skoda.co.uk/discover/download-a-brochure

Silly question, but have you tried switching on just the ignition for longer than 30 seconds? (Maybe leave it for 1 minute & see if it starts behaving)