the "thick white ones" are electrical cables and should not be in contact with hot pipes as it shortens the life of the plastic insulation. If it was me I would put a bit of pipe lagging on the pipes to cover the hot surface. If the pipes are as thick as your finger you need 15mm size, if as thick as a carrot you need 22mm size. Somebody who does plumbing might possibly give you a bit for a cup of tea, you will see it on sale in places like Wilko as the cold weather comes. It is normally sold in bulk packs, you can sometimes buy a single piece in DIY sheds for about a pound. A bread knife will cut it and it reduces heat waste from hot pipes.
The green and yellow is Earth Bonding wire, it does not matter, because it is attached to bare copper pipes that you can safely touch. Yours looks very neat.
BTW there are black marks and tarnish which might suggest a leak. If you feel up to it, you can polish the pipes with a green pan scourer and a bit of washing up liqid, and rub off with a cotton rag. They will come up bright, which means that any continuing or future leak will be easy to spot because it will stand out, usually green or white. You only need to clean them once.
The black marks on the floor also suggest an old water leak, if you clean them once and they stay clean you will know you're OK; if they reappear you will know there is still a problem.
If it was me, I would hoover out the area round the ceiling plate, screw it back up with new plasplugs, and pack mineral fibre loft insulation (which is not flammable) around it from above, it will block draughts, dust and spiders. I realise that not everyone can do DIY or has the materials to hand, and the housing association might not bother.