From the point of view of a 28 year serving copper, the way we applied it on the road is:
Trailer brakes:
1. Every trailer over 750kgs Maximum Gross Weight must have brakes. Gross of course, is the weight that the trailer and its load are not allowed to exceed, otherwise it's overweight.
2. Every part of every braking system fitted to a vehicle (not motorvehicle, so that includes trailers) must be kept correctly maintained and adjusted when in use on a road.
3. There must be some means of the brakes being applied along with the towing vehicle brakes, either by the driver or attendant (!), or mechanically. (Generally this means by air in big trailers or over-run system on smaller trailers).
4. There must be some means of the trailer brakes being applied, should it become detached from the towing vehicle. Generally this is a cable/chain which yanks the brakes on and then snaps, or by loss of air pressure in artics etc.
5. The trailer must be 'immobilised' (big rock under the wheel, wheel clamp, welded to the fence, over-run system on a ratchet) when parked on a road and not attached to a towing vehicle.
Hitches: Most problems/defects would be dealt with (by Plod) as an offence of 'Using a Vehicle in a Dangerous Condition'. Clearly, this is wide-open to interpretation, but basically, if it's not safe, then it's dangerous. Even I as a copper can understand that!! It's age, build/registration/import/first use/anniversary date is irrelevant. If it is in a 'Dangerous Condition'.......................
Of course, there are also Regs, concerning the design, efficiency, and testing of brakes, hitches, trailers etc that are enforced by VOSA, not by Plod. Your local Goods Vehicle Testing Station should be able to help with advice. Police (usually) use Construction and Use Regulations; VOSA use Plating and Testing, C & U, Goods Vehicles, and all sorts of Euro-law. Ask them.