I'm afraid you've misunderstood quite a lot. I believe you're referring to black hole starship, as a kugelblitz refers to a particular way to make a black hole rather than anything else.
Black holes can have any mass or any density, however these are inversely connected — the lower the mass, the denser they get. The sort of black hole generally considered for a propulsion system is of the "extremely light and dense" variety, specifically 606,000 metric tones, with a radius of 0.9 attometers (significantly smaller than an atom, and somewhat smaller than a proton).
The thrust in a black hole drive does not come from dropping matter or energy into the black hole, but from the Hawking radiation coming out of it; as Hawking increases as the mass decreases (and this radiation causes the mass to decrease further), the reason to add mass/energy to the black hole is to reduce the power output of the black hole. However, every unit of mass/energy you drop into the black hole is mass you'd have to take with you when you launch, so you probably wouldn't want to do that if you can avoid it — and worse, you'd need to put in about 160 petawatts (roughly the total power use of a K1 civilisation) to keep the black hole in a steady state. If you could do this with matter, it would be a mere 1.78 kg/s, however you're aiming for a target smaller than a proton which is as bright as a noon-day sun even from a distance of 6000 km, and that Hawking radiation will be pushing against whatever matter you try to send into the black hole in exactly the same way and for exactly the same reasons that you might want to use Hawking radiation for ship propulsion in the first place.
The parabolic mirror in the design is to direct the Hawking radiation and make it useful, and is analogous to the engine bell of a normal rocket. Mirrors do not provide any "stasis" or similar benefit.
Simplifying a bit, "weight" is dependent on your environment, and if you're isolated in deep space or in freefall like all satellites around Earth, you don't have any; however, "mass" is an intrinsic property, it remains the same wherever you are and whatever you're doing, and it is what gives you inertia and makes it hard to accelerate.
The black hole (and the ship itself) will produce their own gravity just by being… well, massive, in both the technical and the normal senses of the words, but this isn't important: the mass of each, and not their weight in each other's gravity fields, is what you need to care about. Unfortunately, no amount of shenanigans with magnetic or electric fields can help with that.
Something I forgot to add in the original answer: Hawking radiation has a characteristic temperature directly related to the mass of the black hole. In this case, 606,000 tons means a temperature of 2e14 K, which is significantly hotter than the 3e8 K in the cores of my favourite kind of supernova, the pair-instability collapse in which photons have enough energy to transform into positron-electron pairs when they hit electrons.
I don't know how to account for gravitation redshift in this situation (I'm a software engineer not a physicist), but (1) that's the only saving grace you might have, and (2) lowering the temperature 6 orders of magnitude will only reduce you from "antimatter is being made inside my mirror" to "nuclear fusion is happening inside my mirror" wherever any given photon bounces off.