The exterior door handles on the Classic can break in various spots. The entire unit(lock, handle, etc) can be replaced, but it doesn't need to be and thats expensive! Here are directions how to swap out the handle and re-used the original lock and mechanism. I'm not sure where this PDF came from, but whoever created it, thank you!
I've used the pin removal method(pdf) to swap out a broken silver RRC lever and replaced it with a black Disco lever. The Discovery I and RRC door levers are the same. The colors maybe different.
After putting everything back together, I found the the exterior black trim around the handle didn't lie flat against the body panel. It appeared not to seal well. Since it's always raining here in Oregon, I sealed up the trim piece with a bit of RTV sealant - the cheap stuff - to keep out the water.
Harbor Freight sells a Trim And Molding Tool Set 5 Pc which makes the job of removing the inside door panels much easier.