Have i missed much ?
A 10.8 kW shower would need a 50A RCBO.
It's got RCD protection then, so you're ok. You're only problem now is you have an 80A capacity - and you're shower will take more than half of that. Good luck.
You can't keep increasing the size of breakers as you go along to meet your demands. That's how fires start. The breakers and cables are sized for the load. The breaker allows a maximum amount of current to pass through the cable without tripping, and the cable is sized to carry this current safely under normal conditions, without exceeding it's thermal limits.
You've been lucky so far in that your cabling seems to meet the requirement. Your current shower will have been using around half of what you have, yes.
You will have to get an electrician in to check your meter tails, main fuse etc, he will be able to tell you whether you are at your maximum rating, which I'd guess, you are.
You should get a professional in to do this. Money well spent. People are killed every year by dabbling with home electrics. At least you know you're already half way there.
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