If you were holding the end that was in the stabilizer, yup, they're upside down. The hair pins should secure them in the stabilizers from underneath. But as most pointed out, it's a good way to lose the hair pins if you're working in brush a lot. I've only lost one, but it can happen. My next question is why they're bent? Are you using them in the slotted holes that allow your lift arms to have some lateral movement (but restricted from hitting the tires)? If you have a Rotary Cutter or something equally as heavy and it's swinging back and forth, that would answer for the bent pins. Lifted loads that can shift laterally can also cause some serious instability of the tractor. There should be VERY little movement of the lift arms if it's set up and pinned right, certainly not enough for anything to get enough momentum to bend those pins. If they're bent because the chains are catching on stuff and snatching them then just give the chains a twist so they don't hang down. I try to make sure that the pins are spaced evenly on the stabilizers, meaning the arms are centered behind the tractor. Eventually, you wind up with some marks on the stabilizers that mean something only to you and you can quickly put them in the right place after coupling an attachment. I have some Cat 0 and some Cat 1 (mostly) so use some different settings. To make it more interesting, my QH is a Cat 2 size, so there was 3 different settings I was using until I adapted my little Cat 0 receiver hitch to the QH.
There's a post in here somewhere about some little 10mm ball-lock pins with a thumb button for release. NO more hair pins. Don't have 'em yet because the hair pins are cheap and readily available. There's 3 Tractor Supply stores within 20 miles of me.