Hey Pete,
Firstly, the high pitched hum and whine are the tracking motors, I notice them on mine when its guiding with a guide cam as I am listening to how much its pulsing, but as you arent guiding I suspect yours are doing something like trying to correct themselves such as PEC. (Periodic Error Correction)
I will describe my set up and shut down procedure I use for the HEQ5 Pro which may help.
1) I have my tube and mount lined up with the tripod leg thats labelled N, however as we are in the southern hemisphere, this leg is the one I point the mount to south with.
2) I have a pretty good rough south celestial pole alignment marks on the concrete where I set up. I got these from using my tutorial on how to find the SCP (in the articles section), but you can simply use a compass and subtract the magnetic deviation for your location from 180 (or add it, depending on where you are) and roughly line up the south leg to that.
3) Power up the mount and press the enter key after the synscan version comes up, then enter again to go past the sun warning.
4) Enter the lat/long for your site.
5) Enter the date in MM/DD/YY. THIS IS IMPORTANT as I often put the AUSTRALIAN date of say 05/04/12 for today, which means the scope thinks its the 4th of MAY, not the 5th of April (Americans, what can you do?)
6) Enter time, no daylight savings etc.
7) Select 1, 2 or 3 star alignment. I normally only use 1 or 2 as I use stellarium to drive the scope with the PC later.
8) Normally, I select Sirius, Acrux (nice double star, easy to recognise at the bottom of southern cross) or Achenar, Canopus, Rigel etc. as my alignment stars as I am lazy and couldnt be bothered figuring out where Vindematrix or Duschubba is.....
9) Once aligned, I select the M, NGC, IC or planets button etc and then enter what I want and off she goes. Normally pointing will bring the object within a 12.5mm eyepiece field of view.
10) When shutting down, I go to the utilities menu, select PARK scope and then watch it return to where it started from. A message then comes up on the screen to say it is safe to power off.
11) Turn off the power switch and pack up.
The motors are fairly quiet on mine, except when its slewing at 800x during alignment when it sounds like a missile or tank turret moving,, but once its on an object, it should only have faint humming sounds while its in sidereal tracking mode, perhaps this needs to be selected in the setup menu as it could be set to sun or moon tracking from before.
Give this a go, let me know if you have any other questions, I will see if I can help in more detail (yes I know the above is pretty brief...
)
Cheers
Chris