I have played a bit with spacetime diagrams and Lorentz transformation and can see time dilation, length contraction and the relativity of "at the same time".
The red lines are longer on the t-axis (time dilation) and closer spaced on the x-axis (length contraction).
But I can also see that events are not always pushed further apart in time by the transformation. This is certainly true for events at the same place but the situation for events separated by time and space on the axis of movement seems to be different.
If a bullet with 0.5c is fired at x=0.1 t=0.1 in the reference frame where the 11 objects are not moving, it will become stationary in the other reference frame. Due to length contraction, it will hit things earlier in this reference frame (time contraction) while the things hit will seem to disintegrate slower (time dilation). The generated diagram shows this but I can only post 2 links. Replace relativistic_0.5.gif with relativistic_0.5_2.gif in the link above.
Is this correct? Are things along the axis of movement destroyed in fast motion while they disintegrate in slow motion from the reference frame of the bullet?