Friends can be very generous with advice on matters they know nothing about. Oyster shell particles are more effective at raising calcium levels in the blood stream if they are larger and not pulverized into powder for the simple reason they take longer to dissolve and that gives a hen's body more opportunity to absorb the calcium.
Giving your hen the calcium tablet will not make her crop issue worse. In fact, it will help to clear the likely egg blockage that is slowing down her crop function.
You do not need to bathe your hen. It will only add more stress to the stress she's already experiencing, and it can make matters worse.
No one can really know why egg binding happens. It can be diet. Some veggies contain oxalic acid which slows down calcium absorption so treats must be watched carefully. Some hens don't absorb calcium at a fast enough rate to replenish blood calcium after laying eggs. All we can do is treat with a calcium supplement when a hen has a crisis and to make sure oyster shell the hen has access to is of sufficient quality to serve her needs.