After FUT & FUE transplant for 2 day doctor gave me complete head bandage & told to remove it after gap of day. Is it ok?

There are many different ways to treat your scalp after a hair transplant, from using nothing to a fancy wrap like you have.  There is no one "right" way to do it.  You'd do best to follow your surgeon's instructions.

You should follow the advice of your doctor and remover the bandages as instructed by him. Washing your hair with a sponge, without rubbing it but rather pressing on it will wash off the crusts