Seems the "problems" are manufactured then.
What is the largest fine one can incur for this stuff?
depends how long you get stuck in the mailslot. aside from the damage to your ship, the longer it goes on you'll start to gain trespassing fines, and eventually the destruction of your ship. the AI doesn't even try to help. it just blindly pushing forward in its pre-programmed flight path.
a little while back i made a post about how i saw two AI ships collide in the mailslot right before i took off from the pad. the ship coming in winged the ship going out and they were suddenly off course. as these two ships continued to try and push through each other, other AI ships launched from pads and flew right into the other ships in the mailslot. i sat there and watched as AI ship after AI ship stupidly launched and flew into this ball of tangled mess that was still gaining ships from the outside as well. as my 5 minutes timer to leave was about to run out, this massive clutter jam of AI ships from outside and inside all try to get through the mailslot, suddenly exploded into a glorious explosion of metallic confetti and i quickly got out of there with 18 seconds to spare before station security started taking shots at me for overstaying.