The issue is that you're buying a 2019 car but it won't feel like one, if that makes sense. This car came out in 2011 - it is old. 2019 was the very last year before it went out of production, later in 2019 an all-new model came out which feels like a completely different car inside and out and is far more modern.
This doesn't mean it's a bad car, it just means that by getting a 2019 example you're paying the price of a modern car but not really getting one, if that makes sense. That one is also a particularly low specification example which again may not be of concern but in terms of value for money and the experience you'll get as a result of buying it there is very little about it that is different from a 2012 version of the same car - there were some technological upgrades later in the life of the 1 Series, for example LED headlights, but this car doesn't have LED headlights.
It is not a luxury car and won't feel like one. It really is quite basic.
If they insist on a 1 Series I would recommend increasing the budget and buying one of the first of the current version of the car. It is better in every way*:
Here is an example of what I mean:
BMW-1 Series-MH69CNF
www.cazoo.co.uk
A far better, more modern, more up to date and more 'luxury' car than the last of the previous model.
*It's now FWD not RWD but this won't make any difference to them at all. If anything its probably better for them.
Alternatively, look at the current model Mercedes Benz A Class - another good small hatchback which offers what they are looking for:
Mercedes-Benz-A Class-KW68XSZ
www.cazoo.co.uk
As you can see these are both considerably nicer cars than the previous 1 Series.