The immune system can be separated into two parts, innate immunity, and acquired immunity.
The cells that conform to the innate immune system are phagocytes, among these cells, you will find Basophils, Eosinophils, Neutrophils, Macrophages, dendritic cells, and Natural killer cells.
The cells that are part of the acquired immunity are the B lymphocytes (Plasma cells, memory cells, and regulatory cells) and the T lymphocytes (helper, suppressors, cytotoxic, and natural killers)
→ Phagocytes destroy pathogens through the process of phagocytosis.
→ Cytotoxic T-cells are in charge of destroying infected cells.
→ T-helper lymphocytes are in charge of activating Cytotoxic T-cells and B lymphocytes.
→ B lymphocytes produce antibodies that detect and mark pathogens so that macrophages can destroy them.
The only statement that is false is the last one since lymphocytes B do not phagocyte pathogens.