I'd like to do this myself if possible, but want to ensure (being a total noob) if I can 
I have a weatherbox under some decking in the garden with plug sockets in. This is on its own circuit into the fuse box with its own isolator switch too.
Across the garden I have a new shed. I'd like to run mains power from the weatherbox to the shed simply for a light and some plug sockets (just for lower power stuff like recharging things. ie: Not bar heaters.)
I have some 12-13mm thick armoured back. 3 core (black, brown, grey).
Could I:-
- Feed the armoured cable into the weatherbox and wire its 3 cores (black, brown, grey) into say a 13A plug, and plug that into the plug board.
- Run that armoured cable across the garden, and into the back of the shed.
- Terminate that armoured cable into a simple knockout terminator box using a gland kit.
- Then run the live, neutral and earth (black, brown and grey) feeds off to a simple switched light and also off to say a four way plug socket?
Note: The above would not be using the armour in the cable as an earth.
Is the above electrical noob nightmare territory, or is it, as I'm seeing it simply running a long extension lead off a plug (in the weather box) and running a light and another plug board off it.
Ultimately, do I do this something like above, or spend three figures getting an electrician in?

I have a weatherbox under some decking in the garden with plug sockets in. This is on its own circuit into the fuse box with its own isolator switch too.
Across the garden I have a new shed. I'd like to run mains power from the weatherbox to the shed simply for a light and some plug sockets (just for lower power stuff like recharging things. ie: Not bar heaters.)
I have some 12-13mm thick armoured back. 3 core (black, brown, grey).
Could I:-
- Feed the armoured cable into the weatherbox and wire its 3 cores (black, brown, grey) into say a 13A plug, and plug that into the plug board.
- Run that armoured cable across the garden, and into the back of the shed.
- Terminate that armoured cable into a simple knockout terminator box using a gland kit.
- Then run the live, neutral and earth (black, brown and grey) feeds off to a simple switched light and also off to say a four way plug socket?
Note: The above would not be using the armour in the cable as an earth.
Is the above electrical noob nightmare territory, or is it, as I'm seeing it simply running a long extension lead off a plug (in the weather box) and running a light and another plug board off it.
Ultimately, do I do this something like above, or spend three figures getting an electrician in?