As someone who used to ride flatland in the 1990’s I consider myself an expert in setting up BMX brakes – I always had to have them perfect!
I had very expensive levers, custom Gyro splitters, modified U and calliper brakes at various times.
Happy to help if you are in Huddersfield, or maybe over the phone if you need it! Just send me a PM.
EDIT – I don’t think the gyro cables need replacing looking at your picture.
You can buy special BMX outer cables which are designed to be a lot more flexible than normal MTB cables, they can help a lot with reducing friction. There is a sweet spot in adjusting BMX brakes as far as length goes, it’s easy to make them too short so they don’t work very well and there is a knack to setting up a gyro well too.