Ground rules: I haven't read all the Star Wars books, so I don't know what future training Luke receives. I'm going with the Luke Skywalker circa Return of the Jedi. If I'm allowing Luke a lightsaber, and I am, I figure I should give the Chief the Covenant energy sword, the assault rifle and grenades. The arena is the Halo level Blood Gulch with Luke starting at the Blue Base with a sand speeder for the vehicle. Master Chief spawns at the Red Base with a Ghost.
Personal Bias: I was really into the first Halo, less into Halo 2, and only played Halo 3 once. Star Wars episodes IV through VI are awesome (see top movies list) The Revenge of the Sith was okay.
Fight! The Master Chief starts off wandering the base making sure there are no other weapons to be collected. There aren't. He puts up the sword opting for the rifle and boards the Ghost, heading for the center of the map. He finds no one. He proceeds to the Blue Base to discover the speeder is gone. The Chief patrols around the perimeter of the map and spies Luke dismounting the speeder and taking off on foot ...