Cable sizing advice please

[kandgmitchell]

Our daughter is moving into a Edwardian terraced "do'er upper" shortly. It has a kitchen but it's a poorly assembled bunch of cheap units with previously a gas cooker. We want to tidy it up and install an electric hob and oven I acquired 2nd hand locally, hardly used.

 

The electrical inspection revealed that the mains lead water pipe isn't earthed and I can see there are only a few ring main sockets, no oven outlet or the like. The mains incomer is adjacent the front door so I've got to run cables from there right through the house to the back kitchen to feed the new oven and hob plus an earth cable for the lead pipe (it'll be mdpe eventually but I'm older now and these things take time). Now I can run these myself which allows us to get some carpets down on the first floor leaving a sparks to do the work either end.

 

I have enough 4mm earth cable and a cable with twin 6mm + 2.5  conductors, left over from my own house build for this. However are these sufficient? 

 

The oven draws a max 2.3kW and the hob 4.8kW - 5.8kW according to the instructions.

 

Thanks