At any point that you are stopped and a pedestrian is crossing in front of you, you should have the hand brake on, and don't realease it until they are out of the way.
The whole test is about being the safest person on the road, and doing everything in the safest way possible. If anything unexpected happens, like you get cut up etc, as long as you handle it in such a way that the examiner thinks, I'd have done the same, then you won't get any minors.
I think after everything I learned whilst taking the lessons, it has made me a better driver (although a lot of bad habits come straight back). Overall it cost about £550 all in.
Everyone I've spoken to about towing always fixates on the reversing as being the difficult bit about towing. I actually found that to be the most easy bit by far. It's the only bit of the test that you're in complete control of.
Not sure where you got the handbrake bit from? Not the case.