is the wiring correct this way ?
in the plug, should the brown cable be wired in the R1(L1) or T3(L3)? 
Wiring – 230v Electric Cooker
kitchensstovewiring
Related Solutions
I just did a search for John Woods thermostat wiring and found the John Wood website.
Then I used it, and your pictures to create the modified picture below.
It looks to me like you have it wired right. Also, it looks like the original wiring was done so that both the upper and lower heating elements would be on at the same time. With it wired the way you have it now, the upper element should go off when it reaches its set temperature, and simultaneously turn on the lower element. I would check this with a voltmeter if I were you.
I AM NOT AN ELECTRICIAN: JUST A DO-IT-YOURSELFER OF ABOUT 50 YEARS. So, you might want to wait for a real electrician to respond.
Click for larger view
go get an LED voltage detector. They're less than about $20 US, and it'll light up when it gets near the hot. And won't light up near the neutral...
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Best Answer
Presumably the socket for this appliance is a three-phase one to physically match the plug you show. (Otherwise, obviously, you could not plug it in).
If that socket is actually wired with two or three phases of power available, then your appliance plug is not wired correctly. You could remove the jumper shown in the first picture and make use of additional phases via the unused grey and/or white wires in the power cord.
On the other hand, if you only have one phase of power available at this location, or perhaps in your home entirely, and a 5-pin socket was installed just to suit appliances like this one that come with the three phases jumpered as shown, then your plug is wired correctly.
Additionally, referring to the diagram in the first picture, if you are powering the appliance via one phase, as currently wired, you should make sure that power cord (which in fact has 5 conductors) contains 4mm^2 wires. I cannot tell from the picture how fat the wires are. If they are smaller than 4mm^2 AND you only have one phase of power available at the socket, you should entirely replace the power cord.