If the center is barley touched you are probably not keeping it flat enough while you lap. Try to put some pressure in the exact center of the HS.
I like to lap in one direction for a while and then in one direction 90 degrees from the first. I think it is easier to check for flatness and to see when a finer grit has removed all scratches from the previous grit that way. Maybe do the final polishing with a figure eight
You can get wet or dry paper up to 2,000 grit at most auto parts stores.
Good luck with it, Bill 
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