Some random points.
I've not used the latest version of Sketchup, so I can't be sure, but my prejudice says that an online tool accessed via a web browser (?) is going to be clunkier than a local app. There are sites which have archived old versions of free software - see if you can track down Sketchup Make 2017?
Remember that Building Regs threshold is internal floor area, not external building footprint. That said, obviously you want to avoid paying the oh-so-reasonable fees, but actually
complying with the regs oughtn't to be a problem, unless you're building a ramshackle fally-down deathtrap of a shack. Which you're not.
Part P applies whatever though, but the electrician for the main work will be able to take care of that. Do you know what size the existing cable is? Better to be too big at first than too small in a few years time if your use changes and you need to trench a bigger one in.
Ditto other services, if they won't give planning a hissy fit (hint - don't tell them about water and drainage if you aren't proposing to use/connect them in this shed)
I don't know if Article 2(3) makes a difference, but if you build it so that it is
capable of being moved as a complete structure (even if access realities mean you'd need a Sikorsky to do it) you may be able to avoid PP as it will count as a caravan.
And as for access - you can get micro diggers which are only 69cm wide.
Consider an ASHP for heating. (And cooling

)