Yes it does sound Cockroaches. Your local council will have a Pest Control Service which will help. Some councils charge for this service. Others do not. Otherwise contact Rentokill. www.rentokill.co.uk
Make sure there is no way they can get at food. If your food stores are secure, suspect the people in the flat below or in the next door house.. Get a pest removal firm. Your local council may be able to help.
You need professional pest controllers. Most sprays won't work. Ask your landlord or get in touch with them yourself. They are not cheap.
Sounds like cockroaches. You need to get an expert in because they hide in so many places.