Since light cannot pass through a black hole does that mean light has mass?

No, it doesn’t. Light is a wave. What is the weight of a musical note?

Also why does light form a singularity in a black hole?

It doesn’t, the singularity is the name by which the actual mass of the black hole is known by. In short singularity is the mass in the middle, black hole is the phenomenon caused by that mass, but they’re mostly the same thing.

Is that like a fixed point on a map or something?

Sorta, think of a black hole like a drain emptying a huge pool, you can feel it sucking the water the closer you are to it. The singularity is the drain, but from the outside you can feel the water being pulled from much farther away, and that’s the black hole.

And can you travel to that fixed point after the black hole has its way with it?

What point? The singularity? No. That is the black hole, it’s like asking whether you can travel to the sun after the star had its way with it, you’re using two words that mean the same as if they were different things.

And if the velocity of a black hole is so intense that it exceeds the speed of light, then would that mean we have a new speed to consider?

Black holes don’t have any velocity, they just are. Think on the drain example I gave, the drain is not moving, but the water around it is.

If so can you explain what speed is that is faster than light?

No speed is faster than light. Again, light is a wave, not a physical object, imagine the drain again, you’re making ripples in the water, and you see that those ripples get near the drain and are “pulled down”, you might conclude that the ripples are attracted to the hole, but in reality it’s just that the medium they’re moving on (water) is being pulled into it and so ripples on that medium get dragged along.