What should I look for when test driving a used E70?

[Spanky Deluxe]

I'm sure something like this has already posted but the search isn't working for me at the moment.

I'm in the market for a used diesel E70. I had a look at two a few weeks ago but wasn't ready for a purchase then and was just 'scoping' them out. I'll likely be going to look at another one seriously in the next few days.

What kind of things should I look out for?

The one I have my eye on is an approved used car (i.e. from a BMW dealership, I think this is similar to the US' CPO) so I imagine it's been checked over (in theory) and it'll a year's warranty due to being approved used. I've done an HPI check in advance of seeing the vehicle and there are no outstanding issues. It's only had one previous owner and I think has been a BMW lease hire type thing.

Can I ask to see any kind of records for used cars purchased from BMW showing any work done etc? Does it matter? I just want to go in with my eyes open.