quick connect

Hello dear plumbing experts, I recently bought a countertop dishwasher for my apartment featuring a quick-connect option for my kitchen hose. Unfortunately, the hose (pic 1) cannot connect to the quick-connect adapter (pic 2) or the faucet adapter (for regular faucets, pic 3). I am now...

I am replacing a 10 year old kitchen faucet (unknown which brand / model). I can not seem to figure out to disconnect the quick connect fitting. Typically, I've seen where you press up and squeeze the plastic rings together and you pull down, but this is different. It seems to have some sort of...