Personally I would just replace the pipes like-for-like, if access is reasonable. My assumption being that it worked ok before it became blocked so why mess too much? I don't think you can use plastic due to the proximity to the boiler but the pros can give you a view on that.
Certainly that will be the cause of most of your problems and is the first thing to fix.
Certainly that will be the cause of most of your problems and is the first thing to fix.