Most of the parts will fall off because they are no longer needed. Stamen and petals will fall off (I cannot think of a plant where this doesn't happen). Sepals may or may not fall off. Think of a strawberry or a tomato. The leafy structures on these fruit are actually the remnants of the sepals.
Some pills are completely water soluble and therefore would dissolve in water faster than other liquids which are a mixture of water with other compounds. In some cases the sugar in Kool Aid and in Cola may cause some inhibition of the dissolution process.
But if pills do appear, you can try one of the following techniques to remove them: Remove the little balls, one pill at a time, using a small pair of scissors or a razor blade, being careful not to damage the fabric by cutting too close to the surface. Or, you can purchase a sweater comb or electric fabric shaver, then drag it across the fabric to remove the pills.