Ray I just completed the exact task you are looking to do, except the front and rear end caps were OK.. Here's what I did, and it worked great.
First I sanded the entire area, front to rear, on both sides. I took the refrigerator access door to a local NAPA Auto Store that has a paint section.
They were able to custom mix a matching paint AND put it into a spray can. I am told any automotive paint shop should be able to do this, but I have used NAPA before and have always had good results. Based on their input, after sanding, I wiped down the area with Acetone, then applied an adhesive spray on that they suggested, followed by the custom mixed paint and then three light coats of a clear gloss. All this paint material came from NAPA. I have a garage I was able to use for the work and again, the job came out very nice. It did take several days to complete this job.
Hope this helps.
Good Luck