Is a red blood cell responsible for all functions?

No, a red blood cell is not responsible for all functions. Red blood cells, also known as erythrocytes, have a specific function which is to carry oxygen from the lungs to all tissues of the body and to transport carbon dioxide waste products back to the lungs for removal. They do not possess a nucleus or many of the other organelles that are responsible for carrying out other cellular functions. Other cells and organs in the body are responsible for various functions such as immune response, metabolism, digestion, movement, and more.