Pilot 70001 Eraser Refills, 70001, 5/Pack

Would this fit into pilot dr. grip limited 0.5mm mechanical pencil, ice blue metallic barrel?

Is this item (as pictured and as confirmed by the "Product Dimensions") a box containing 12 packs, each of which contains 5 erasers?

The picture on this page shows a blue box containing a dozen boxes of five erasers each. Is that what we're getting or just one box of five erasers?

Do these erasers fit the Dr. Grip mechanical pencil?