As one background star image is greatly magnified, so is another 180 degrees around the black hole - but with your current point of view you can see only one at a time. Your spaceship's motion can cause a star image below this Einstein ring to become very bright and shoot out of view - while a moment later the other bright image of this same star zooms into view above the Einstein ring and fades. You are not at the event horizon, which is still below you. Were you to travel to the event horizon the sky would appear to scrunch up into a little dot opposite the black hole. My computer programs cannot yet track you that far with much accuracy, and so I cannot take you there today.
Nobody really knows what it looks like inside a black hole, on the other side of the event horizon.
Circling the Black Hole at the Photon Sphere. Peruse the American Journal of Physics Article on this subject.