Do Different cell types also have special duties, like building skin or bone, pumping out hormones, or making anti-bodies.

Cell is the basis structural and functional unit of a living organism. The body of a human is composed of trillions of cells that are organized in around 200 types of cells.

A tissue is simply a group of specific kind of cell that have a specific role.

For example: The nervous system contains cells called neurons that have ability to transmit message from one place to another and allow us to respond to any environmental stimuli, such as heat, cold, danger etc.
Skin cell is composed of cells that have a role in protecting the body against the attack of harmful microbes. They also protect have role in building new skin cells and adding the protection to our body.
Blood cells have a role in providing us immunity (for example white blood cells) therefore, make us better able to protect ourselves from danger of diseases.
Muscle cells help us in moving our organs as well as allowing the whole movement from one place to another.

Thus we see that different types of cells have special functions and all these different cells coordinate with each other to make an organized and functioning body of a living organism.

Hope it help!