1- im not sure how much control nemesis has over his agents, frankly, half the time it seems all he can do is drive em nuts.
2- define 'power to rival'. also 'lesser gods'. frankly some of these numbers I came up with for power level are so insanely huge that there is a lot of wiggle room.
3- if you believe GK, then until TC he suspected Harry of being an agent of the enemy. If he interferes at all it will be with considerable caution.
4- this actually remind me of another debate about another Jim book. Back when the second furies book came out, I concluded that the main queen - HIB- had furies, due to her blood connection to Tavi, and that explained some of her tactics and plans.
this idea met with rich mockery and several flame wars, with each succeeding book getting worse; Jim would drop another hint that HIB had furies, and people would come up with these really impressive logical arguments how its not correct, it cant be true, etc etc.. My favorite was the thread dedicated to how HIB flies with the aid of insect wings she had hidden under her cloak, and that's why she wears the cloak.. there was even accompanying illustrations.
the 'Mab has precognition' thing is pretty much the same. And much like the previous discussion, it will only be resolved when Mab walks around telling the future.. oh wait, she's done that.
maybe if she shows up with a t shirt saying ' seen then, done that' .. or a neon sign. Yup , that might work.