100% Reflective box+Photons If a 100% reflective box/sphere could be made, and introduce light inside the box, what would the box do? Photons have mass and if the box were 100% reflective they could not escape, would this thrust the box in a direction, make it 'leavitate' per-say due to equal forces in all directions, or would the photons have so little mass, it won't Move it or something else?
 A: 
Photons have mass

Wrong. A photon is an elementary particle of mass zero. This mass is the invariant mass, the length of the four vector

The m0 of the photon is zero and so it has energy and momentum only.
When more than one photon four vector is involved, unless they are completely collinear , there will be an invariant mass, because the addition of the four vectors will have a "length". 
Light is composed out of an enormous number of photons, and will have an invariant mass when adding the four vectors, because even in lasing there will be some angle between the individual photon directions.

and if the box were 100% reflective they could not escape, would this thrust the box in a direction, make it 'leavitate' per-say due to equal forces in all directions, or would the photons have so little mass, it won't Move it or something else?

The randomness of scatters on the walls precludes a momentum in a given direction, so there will be no effect on the box, as the total momentum is zero.
There cannot be physically such a box, because the individual photons interacting with the wall surfaces will have a probability of loosing some of their energy/momentum with each scatter on the atoms of the surface  and will slowly be totally absorbed , the ones degrading to infrared radiated as heat, and radio waves escaping
