A few questions about photons? (advanced)

So i have a few questions about photons...
1. If photons have no mass, how can it have momentum?
2. If it has no mass (no momentum also) how can it have energy?
3. If the E=MC^2 equation does truly explain it, then how can a mass-less object acquire mass(without moving, otherwise it would already have momentum) in order to have momentum?

Im just in highschool, but this stuff really interests me. I'm most likely going to study physics in college.

1. massless momentum is found from E = Mc^2 = hf = hc/L = Pc. So the momentum P = h/L where h is Planck's constant and L is the wavelength of the photon. M is the relativistic inertia of the rest massless photon. And that's the lesson, photons do have inertia. It takes a force to divert their velocity directions even though we don't change their speeds, which is always c, the speed of light.

2. Same way it has momentum E = Mc^2 = hf. M is its inertia, which exists even though there is no rest mass. The complete energy equation is E^2 = e^2 + k^2 = (mc^2)^2 + (Mvc)^2. And when v = c, we have, E^2 = e^2 + E^2 so that e^2 = (mc^2)^2 = E^2 - E^2 = 0. And as c > 0 always, the only way this equation can be true is for m = 0. See 3 about e = mc^2.

3. e = mc^2 does not...not...explain anything that goes on with photons. They have no rest mass m. In fact, we have shown above that for any object to go v = c the speed of light, its rest mass must...must = 0. The graviton is like the photon; it has no rest mass either and travels at v = c the speed of light in a vacuum.

Wow, this is a great topic! I'll explain the gist of it, but I'd encourage you to look further into it. I think you'd enjoy yourself.

All right, first off, photons are discrete packets of light energy. Basically, scientists theorize that photons are capable of acting as both particles and waves; they exhibit wave-particle duality. The energy of a photon is dependent on the frequency of that particular photon.