VeniVidiLeccy
DIY
Hey guys, just registered to ask this as my Level 2 Engineering Diploma did not cover this 15 years ago 
I just bought a house and the oven is some basic model I wanted to replace with a Pyrolitic one. While doing a research on how to swap them out I came across the 13/16amp limitation. So I decided to pull it out and check out the wiring behind it.
The situation is as follows:
The current oven is a simple 2.3KW model with hard-wired 3-pin plug at the end of it
It's connected to a socket that's been split off a "Cooker" switch on a wall, which is used for both the Induction stove above and cooker below it.
I have a dedicated 32 amp breaker on the consumer unit labelled "cooker".
In practice it looks like attached "wiring" pic, I pulled out the box from behind the cabinet in"BlackBox" pic.
Where
"Switch" is what I've on the wall for completeness
The question I have is:
Am I ok to simply dismantle the 3-pin socket (Grey with blue tape) and use that wiring to connect a 16 amp Oven to the Cooker Switch on the wall directly or do I need professional help making that black box into something more "proper"?
Thanks in advance.

I just bought a house and the oven is some basic model I wanted to replace with a Pyrolitic one. While doing a research on how to swap them out I came across the 13/16amp limitation. So I decided to pull it out and check out the wiring behind it.
The situation is as follows:
The current oven is a simple 2.3KW model with hard-wired 3-pin plug at the end of it
It's connected to a socket that's been split off a "Cooker" switch on a wall, which is used for both the Induction stove above and cooker below it.
I have a dedicated 32 amp breaker on the consumer unit labelled "cooker".
In practice it looks like attached "wiring" pic, I pulled out the box from behind the cabinet in"BlackBox" pic.
Where
- "Grey" is power 'in' coming from "Cooker" switch at the wall
- "Grey with blue tape" is 'out' to Oven/socket
- "Black" is 'out' to Induction above
"Switch" is what I've on the wall for completeness
The question I have is:
Am I ok to simply dismantle the 3-pin socket (Grey with blue tape) and use that wiring to connect a 16 amp Oven to the Cooker Switch on the wall directly or do I need professional help making that black box into something more "proper"?
Thanks in advance.