1. Yes, but it's also up for debate, since it's also known that the information content of a black hole is proportional to its surface area, so 2D.

2. The event horizon is spherical. Mathematically we treat it as a point. Nobody knows.

3. It's a gravity well, so everything falls towards it like it does towards the earth. Since it's the center of a galaxy, and galaxies form a 2D spin plane, most matter will be circling it, like our solar system circling the sun, so most matter will come from that planar distribution.

We will never see anything fall into a black hole, as in our space-time, this would happen at infinite time. As things get closer, they red shift from our frame of reference due to time dilation, until the light frequencies are so low that we can no longer detect them