About the hub. The cones are loose. Search the Park Tool website for instructions on how to fix.

About the tire. Make sure you line up the graphics on your tire with the valve stem. this way you will know if all the puctures are in the same place. If they are then most likely you have something in your tire.

About the "spoke settling". This is a sure sign that your wheel was not detensioned when built and is probably out of true. They shouldn't ping after an adjustment.