If theirs charring inside the unit it's going to be a problem with the shower unit itself and not something with your wider house electric. That said trying to fix itself isn't the best idea but replacing it whole is no worse than changing a light bulb yourself
I'm sorry but no.
Actually, I'm not sorry. Just NO!
Changing a high power load that requires properly matched cabling and circuit protective devices (to which most people will not understand or have access to suitable training material from the on site guide or BS7671), for which proper installation methods, terminal torqueing and subsequent testing upon installation are required, is not. I repeat several times,
not, the same as changing a light bulb! I'm not trying to be offensive here, but that is one of the dumbest ideas of equivalency I have ever heard, and I have worked in some companies with very enthusiastic and ill informed project managers, and this I think beats even most of them!
As I've already said, this work is in a Special Zone according to Part P of the building regulations. I strongly suspect the OP is not "sufficiently trained and licenced" to discharge notifiable works themselves, and therefore this is not work they should be carrying out.
Changing a light bulb is a socketed device designed to be changed by non-trained personnel. Changing (let alone selecting the appropriate rating of) high power devices, in a special zone, is very much not!