It all depends on the milk. Pasteurized milk has very little to none lactic bacteria, but still has putrefactic microorganisms. That's why pasteurized milk will go bad and not sour. Repasteurizing won't do much good.
If the milk is fresh enough that the pH levels are ok and it has a decent ionic balance, you can culture it and proceed, but the warm temp will give the bad bacteria an even bigger opportunity, and at that point, it'll be a war between the lactic bacteria and all the nasties. The nasties leave off flavors, which can carry over to the cheese.
There's nothing wrong with using older milk, but I wouldn't make long-aged cheeses with it. Feta, queso blanco, ricotta, etc all would work well. For longer aging times, all those nasties will give the cheese an odd flavor. When their cell bodies burst, the outcome won't give the pleasant result that lactic bacteria provide.