Are you sure it's oil on the rear plug or is it gas, the description of the front plug makes me lean towards fuel problem.
Pull the dip stick and put a few drops of oil in the palm of your hand, if it spreads in the lines of your skin relatively fast it is contaminated with gas, stays in place then not bad.
Oil diluted with gas can make the engine smoke.
Oil burning is blue in color.
Excessive fuel will be black smoke.