If you're traveling in a spaceship at .577c, and you stand on the nose, and drop an object, it is going to fall toward the ship because of the ship's (slight) gravitational attraction. That means it will approach and collide with your ship. Otherwise, the principle of relativity would be contradicted. That principle requires that experiments work the same regardless of the speed at which you are moving.
The "distant observer" will also see the object approach and collide with your ship, although he will measure the time required for the collision to be different. Therefore, he cannot see the object as being repelled.
Right. Felbers analysis works, but he's playing tricks by telling fairy tales about the underlying reality.
See post #138. Your example results in the same analysis. The numbers are just far less in magnitude and the "effect" likewise, far less apparent.