Flow control and error control are responsible for managing data transmission rates and ensuring reliable data transmission on the data link layer of the OSI model. Flow control involves the receiver notifying the sender of its buffer limit and acknowledging received data so the sender does not overflow the receiver's buffer. Error control involves the sender retransmitting frames if acknowledgment of receipt is not received. Three common error control protocols are stop-and-wait ARQ, go-back-N ARQ, and selective repeat ARQ, which differ in their window sizes and retransmission strategies.