Hi Rick,
I had a good look through GN7 today, The main points being the equipment installed have to be suitable for the environment, IP rated etc. (which we already knew), everything requires 30mA RCD protection (which we also knew).
There are several requirements to do with PME which is not applicable to you.
The metalwork of the building needs to be bonded back to the MET if it becomes extraneous or an exposed conductive part, this will need to be min 10mm copper, or equivalent if using the armour (depending on size of armoured cable).
If it is neither of these then bonding need not be applied, you may be better here glanding the armour in to either a plastic gland plate or a plastic adaptable box etc
There is another possibility here and that is to TT it, and earth the armourings at the supply end and insulate the gland at the GH end, and rod it also at the GH end as a caravan pitch is done.
Please note by TT ing it this is not to get around PME regs as is usually the case, but to simplify any bonding at the GH side as this then would not need to go back to the MET in the house, just the local rod earth bar/EMET at the GH.
The problem doing it this way is that you are already planning to have it on the house RCD, which then would mean two 30mA RCD's in series.
This brings us to the next problem your design current as it stands is too large to run off of a FCU and off the RFC in the house, as your heating is 3kW by itself.
You need to know your design current to work out the size of the armoured cable, the supply OCPD (if not spurred of the ring), and also take into account the voltage drop.
You would also need some IP rated equipment in the GH whichever way you go to split the single feed between lighting and sockets, this could be as simple as a weather proof SFCU fused down to 5A, this could double up as your light switch.
All electrical fixtures, fittings and accessories as well as being IP rated (min IP44, may need to be higher) and be class II fittings.
I hope this helps.