I hate to say it, but there are more levels of law than that :-(

(1) The council can introduce bylaws which cover a single area (eg. a park).

(2) All sorts of national organizations have their own bylaws (eg. the railways, canals).

(3) You can even have "laws" affecting individual houses (they are called "covenants"). eg. my house has a binding covenant that stops me from keeping chickens.

BTW the EU isn't really a law maker as such. Our contract with being in the EU means that we implement the EU directives, but in theory we could refuse -- the EU would fine us and/or kick us out if we did this.