The light has mass and weight......

Just re-iterating here, Light has no mass, because it isn't matter, it's energy. It has momentum because it's moving at the universal speed limit, which requires infinite energy to accellerate up to with mass. It's there in the relativity equations, but I'm incapable of putting it in layman's terms. Suffice it to say, light exerts pressure on a surface through reflection, or absorption, depending on how shiny it is, and usually both. (You can't have a perfect reflector, or absorber.) Reflection is more efficient, because it reverses the momentum, and absorption wastes a lot of energy as heat.

The Earth has enough mass to bend light, it's just not by an amount we can perceive with our natural senses. It also has enouh gravity to slow time, again by an imperceptible amount, not to mention the fact that the majority of us never leave, so it's the time we're used to.