Having now completed the job (actually finding that the wires are ok...), I'll add a couple of more points in case anyone else is doing this kind of job.
Ensure the gear/throttle lever is in the 'neutral' position before you remove the back covers (main cover has three screws, the lower one 2). I'm not sure how important this actually, is, but it's complex inside that unit so best to not add any unwanted variables!
Ok, the bottom panel will not come off by itself - incredibly, the top cover overlaps a segment in the corner, so the top cover has to come off (or be loosened a great deal) before the bottom cover comes off!
See the throttle 'fast idle' lever? Leave that in place when you remove the top cover - it'll come away with that cover, still attached to it. There's a very good reason why I'm suggesting this - the throttle lever and the main gear/throttle control are 'linked' via a small round spring-loaded bearing wheel (around 8mm dia) which ensures that the gear lever cannot be engaged when the engine is 'fast-idled' (you are probably aware of this feature). If you remove this fast idle lever, you will leave behind the mechanism with a wee pinion which does this safety job. Once you remove the cover - leaving this mechanism behind - the wee bearing wheel I mentioned before will move position (as it's spring-loaded) and you won't be able to simply replace that cover again!
But, it ain't a problem if this happens. Simply refit the idle lever mechanism (it's a round disc about 50mm dia with a pin sticking out the back) and the lever back on to the back cover - it's only two screws. Push that wee round spring-loaded bearing out of the way as you position the round wheel. Screw on the idle lever. That wee bearing is now in the correct place - pushing against the outside edge of the fast idle disc. (This will all be obvious when you look at it - honestly...)
With the fast idle mech now fitted on to the back cover, you'll now be able to refit the cover - but make sure that the pin on the fast-idle wheel is in roughly the right place to engage with the slotted lever inside the control box; a wee bit of fast-idle lever wobbling will make it locate.
Sadly I couldn't take photos as my hands were thoroughly covered in grease (I gave the insides a liberal coating) but there are exploded diagrams out there and I'll happily guide peeps through this issue if needed.