First of all, per the second post, I doubt that you have a "fusebox" problem. The solution is not that drastic or expensive, but it is much harder.
When someone says you have a fusebox problem, what I think they are suggesting is that there is a problem with the printed circuit board attached to the back of the fuse box.
The pcb is what I call the car computer and yes, does pretty much control whatever goes on in the vehicle. This is where the VIN is imprinted into the brains of the 3 and hence yes, if you get a new "fusebox", then lots of reprogramming has to be done, or more correctly, I think how it really works, is that to order one, you provide LR with your VIN and it comes programmed with the factory software load - hence keys etc will still work, but you will be broke and not beable to afford fuel for your 3.
Also there is a backup chip located on the rear of the instrument cluster that backs up the info saved on the primary pcb. I say this as the single large electrical connector that plugs into the rear of the instrument cluster over time comes loose and has to be replugged back in. The clue that this is loose is lots of trouble lights start to show up on instrument cluster or gauges such the the fuel or temperature stop working. Most often the engine still starts and runs etc but lots of nasty messages display or nothing displays. Sometimes the engine will start and then quit or the tranny will not shift.
As the second post suggests, I would first start digging into the wiring bundles located under both front door sill channels. Over time, water seems to collect in there and start corroding the wires within. There are some really thin 22 gauge wires in there that go first. These relate to the door locks and lights in the door buttons.
This link has pictures of the door sill wiring and links to other threads.
I would explore this first as for the most part, I find that the actual printed circuits boards do not normally fail, but the wiring and connectors to them sure does - if that makes you feel any better.
https://www.disco3.co.uk/forum/topic54235.html?highlight=+remote++locking