Honda CR-V 2012 Problems

You can fight BP, but at the end of the day I doubt that you would get anywhere. If you want to mount a case you would need to have proof of everything you, and your helpers, did from the time you filled up. Really, it's a case of 'you say, they say'. Who's to say which one of you is right. What it does say is that the so-called guarantees offered by the fuel companies are meaningless.

The correct inflation pressure is contained on the sticker attached to the car and in the owner's manual. I would think 280 kpa is too high.

It's quite often recommended to run tyres at a higher pressure than the carmaker specifies. It's ok to do that within reason, but I think 40 psi is way too high. I imagine it rides like a dray at that pressure. I would suggest you try around 32 psi, it should handle better and give you better fuel economy without the deterioration in ride.

There are lots of SUVs to choose from, it's a very crowded market, which works in the favour of the buyer. The Territory of the vintage you are considering is a decent car, the diesel is economical and it would tow up to 2700 kg. Also consider the Toyota RAV4, Nissan X-Trail, Honda CR-V.