Keys stick. Raise heat and try to lower humidity in room for several days. Work the keys up and down and sideways. If stickiness doesn't disappear, call in a piano tuner.
Keys stained yellow. Age causes this and it cannot be corrected. Ordinary dirt stains can be removed with mild soap and water.
Top of key. Carefully scrape off old glue. Spread a thin layer of Duco cement on back of key top and press down on the base for five minutes. Be sure to wipe off any glue that squeezes out at the sides.
Wood damaged. See
wood.