It's generally not necessary to boil milk again after fridge storage if it was properly pasteurized and refrigerated. However, boiling can extend its shelf life slightly, but may affect the taste and nutritional content.
Pasteurization is a process that heats milk to a specific temperature to kill harmful bacteria and extend its shelf life. Once pasteurized milk is opened, it should be stored in the refrigerator at a temperature below 40°F (4°C). If the milk has been properly refrigerated and doesn't show signs of spoilage (sour smell, curdling), it's safe to consume without re-boiling. Re-boiling milk can denature some of the proteins and reduce the levels of certain vitamins, like vitamin C and B vitamins. It can also alter the taste, making it slightly caramelized or cooked. If you are concerned about potential bacterial growth due to improper storage or a compromised cold chain, boiling the milk will kill any remaining bacteria and make it safer to drink, but it's best to discard milk if you suspect it's spoiled.
To maximize the shelf life of your milk, store it in the back of the refrigerator where the temperature is most consistent, and avoid storing it in the refrigerator door, where temperatures fluctuate more frequently.