Using a Duel Accessory Box like this
one can fit a socket and a RCD fused connection unit (FCU) alongside each other.
from the RCD FCU you can then add as many sockets as you like all being fused to 13A total and RCD protected cost of parts around £25.
Or you can fit a Garage Consumer unit you show link for, either way it allows you to reduce the maximum current using MCB or fuse and add RCD protection.
Cable is rated by cross sectional area of the conductors the
Batt cables website does give the outside sizes 6.9 mm x 13.4 mm for a 6mm cable however this will change make to make. That is for twin and earth which does not seem right for a shed. In the main sheds are remote from the house and twin and earth is not a external cable we would normally use SWA (Steel wire armoured) cable.
I find measuring the cross sectional area with calliper hard, and the normal method I used is to try fitting red, blue or yellow crimps onto the cable. If red will go on the 1.5mm or less, if blue will go on 2.5mm or less and yellow 6mm or less so if blue will not fit and yellow fits slack then 4mm and if yellow fits tight then 6mm. Often the size is written some where on the cable.
A circuit means the electric can flow so it has line and neutral when you have two cables going around in a circle and meeting so every socket has two cables feeding it then it is called a ring.
We have debated the fitting of a garage consumer unit and we have not reached a conclusion as to if this need notifying. (See Part P building regulations) However I would with the apparent lack of knowledge on your part advise you get some one who is a scheme member to do the work. Or at least get a quote that way they will likely raise and safety points we may have missed.