Unless I'm mistaken, the problem with cheap eggs lies in the yolks, not the whites. The yolks from cheap eggs have a lot of omega-6 fatty acids, whereas higher quality eggs often contain a balance of omega3 and omega6. When you consume a lot of omega-6, it might be necessary to balance it out with omega-3 in order to avoid health problems, but the egg whites contain mainly protein and not much else.
Definitely read some of the stickies too. There are a lot of imbalances in your diet - way way too many carbs at breakfast with very little protein or fat. The "snacks" (make all of this balanced meals, get rid of the snack idea if possible) contain 18g of protein if it is 3 normal sizes egg whites if I'm not mistaken. That isn't enough protein in this meal, not to mention the complete lack of fats or carbs.
No idea what time you eat dinner, but you might need to move some cals to another meal afterward. Preferably a meal with no carbs, lean protein, and lots of veggies.