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Spray something into each lug hole and around the axle [pilot], then hit it with a good size hammer in between each lug. If it still won't come free for you use a block of steel and the same big hammer on the back side at 3:00 and 9:00. If you end up forcing it all the way off make sure you didn't damage any of the brake hardware (springs and pins).
Sure it's the brake lining that's holding it up?, looks to me like the drum is rusted to the axle, might want to squirt some PB Blaster and let it sit for a while or use a little heat, should pop right off.Myself I'd take it back to the ones that broke it and make them fix it.