Apparent Superluminal Speed in STR

I travel at almost the speed of light in a rocket from A to B at a distance of d.
Since I want to travel very fast, I need a very high acceleration.
Unfortunately, I would have to be Superman, and the rocket would be made of a super-material. Anything larger than a meson or similar cannot withstand this.
Thus, I would also be traveling back in time. Perhaps I would meet Hawking orbiting a black hole. The two points contract strongly during acceleration due to the shortening of length. Point A appears to be following me, similar to the Lense-Thirring effect. Point B approaches me at apparent superluminal speed. It is not moving, but remains at rest in the initial frame.
Beim Bremsen kehrt sich alles um. A flieht von mir schneller als das Licht (scheinbar), und B wird schnell langsamer. When braking, everything is reversed. A flees from me faster than light (apparently), and B decelerates rapidly.

Ludwig Resch