I believe in ghosts (raised shinto)... but I strongly doubt that's what's up. In large part because everything you're describing sounds totally normal.
Esp that she's waking up after the tylenol has worn off and wants snuggle time/ is severely unhappy / discombobulated / also probably hungry since waking up all confused in pain. I would dose, feed, snuggle, and tuck back in bed.
Kids also often point at "nothing" because they see light and shadow differently than we do. As in, their brains are still learning to filter out "extra" info and OUR brains don't even notice cool textures, the interplay of dustmotes, reflections from windows, heat waves, vibrations from appliances even though we can SEE all that an more. Instead we see a blank wall.
Getting "clingy" (no or little independent play) is also very age typical. Walking and holding hands comes with POWER. I can move an adult anywhere I want! Cool! Independence seeking will come next. But right now it's a touch of separation anxiety more than likely.