Advice please

[Diamondgeezer]

Hi all
I posted a few weeks back that I'm looking for a csl

I have just been to see a car and would like to hear your views
The car seems very straight and only has a few stone chips to the front and the front wheel arches have some suface rust

The interior is ok but the steering wheel could do with a retrim but other wise it's ok

The main issue is the service history
There are 7 previous owners but their is no corresponding paper work for the
First 5 owners or before 2009
The service book has been stamped and all the services seem to have been done at main dealers and lately at specialists

It's also now on its 4th different reg number
The mileage is at 73k and I can find nothing to show any major works have been done
The guy who is selling seems honest and I'm sure isn't trying to hide anything
Is it possible to get the service details from BMW ?
I'm planning on getting the car inspected at Bartlett including compression test prior to me handing over any money
Your thoughts please
Cheers