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MB3 163a: Putting Oil on Shoes on Shabbos (327:3-4); Medicine on Shabbos (328:1-2)
Oiling shoes on Shabbos - new vs. old (עיבוד). Putting oil on your foot before putting your shoes on.
Taking medicine on Shabbos for a slight discomfort is prohibited. An איסור דרבנן can be violated for a "חולה שאין בו סכנה" (non-life-threatening but needs to lie down).
It is a mitzvah to desecrate Shabbos for a life-threatening illness.