I think if you have some leaking you will see more fuel.
Thing the running test is 2 minutes but cranking foe 1 should show enough to see witch are bad if any.
Get somebody to do the cranking while you watch it might just spew out of one.

If you have a good battery that will crank for 30 to 60 seconds.
I would think you will see a lot more fuel in 1 or 2 maybe more bottles.

Exact;y the same as mine was.
2 injectors later started first turn every time.
Leak off test time.

What where then markings like front to rear.
Where the fronts at 6 and rears as pictured.
I think that is what you are saying but just checking.

Is there a lot of tread difference front to back.
Any more than 2mm i think it is will give problems.
As said do the chalk test before it does any more damage.

3.0d M57 ? or N my bet is the m.

What engine is it or did i miss that bit.

Black smoke = too much fuel ??.
I would still try a leak off test.

I had the 4B90 on mine with the m57 it turned out to be 2 injectors leaking.
My car ran ok once started not bad to start from cold but a bugger to start hen hot.

Result

What fault codes come up on a code scan.

The adjuster for the shoes is accessed through a wheel bolt whole and better with the wheel off.

Don't see how with today's MOT kit it finds the car on the system.
Even the brake tester is live to the DVSA now.
The only bit i see where you can cheat a bit is where it asks for the plate value for emissions.

Asked 2 testers at my m8's garage yesterday and both gave the same answer. Testers deaccession and they have tested a few of the older E53's with no EML light and couldn't remember ever seeing one. I never had a problem and my sister has just well last year got an 2002 E53 again with no EML light an...

Send it back asap.
Don't no much about them but i know of one that is forever in the garage.
The last thing i remember failing on it was the brake servo and for some strange reason they put that inside the bell-housing and what a job.