then i am guessing you need a new ignition switch unless you can somehow clean the contacts...because the jumpering excercise just bypassed the switch and the associated wiring,you have stated the associated wiring and plugs are clean
you could take an ohms reading of it all, take out the fuse and measure between the fuse holder clip (loom side) and the brown connector on the relay, it should be a very low reading 0.5 ohms at a guess