1) That's why you need a dash cam with audio. Ideally, it should record the road as well as the instrument clusters to verify that the automation was activated.
If you cannot record the instrument clusters, make sure there's audio because when the automation is activated, it emits unique sounds so you can decipher which is which.
2) Even if the Autopark was indeed on, your owners' manual shifts the burden of operation to owners as it does not guarantee its perfection.
3) You should learn by now that Tesla does not cover for any cases that go wrong because of its automation system, including but not limited to Automatic Emergency Braking, Autopilot, Summon, Autopark, Falcon Wing Doors Collision Avoidance and others that I don't remember right now.
4) That means you need to be ready to react to avoid things go wrong or you just don't use its automation system.
5) It's just how it works in Tesla.