32A Protective device(MCB) on a cooker rated up to 15kW is usually appropriate within a domestic installation.
So you should be fine. After diversity has been accounted for, this will also allow for a socket outlet on the CCU.
The control unit is rated higher than the protective device, so that's okay too.
6mm T&E will carry a maximum of 47A, providing there are no de-rating factors during it's route.
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