Question 1 scares the crap out of me. Land Rovers are not like a kneeling elephant. That little compressor cannot perform that trick on frequent, daily basis. Do me a favor and have her try something around the height of an Acura MDX, maybe a Nissan Murrano, BMX X3 or X5, Volvo XC90, or the 10 or 12 Mercedes models that start with the letter G.
Question 2: sounds like a failing battery and potentially a failing alternator. They are wearable parts. 3 years is the average life span on an LR3.
1. Attached are some heights
2. What you experienced is all normal - the battery was down a little (can be for a range of reasons and is not a fault) - the vehicle protects itself by shutting some non essential systems down such as the radio - hence low power etc. After driving it a bit the charge in the battery comes back and the message goes away and the radio works normally. Lots of short trips can cause this, among a lot of other scenarios - is not normally a fault.