Are small dogs allowed to be carried through? It's too hot to leave my Yorkie in the car. I had him at the dog park and have to grab a couple things.

No

Not unless it's a service dog. That's the official policy, at least.

Nope you cant

I'm sorry but I can tell you whether or not the dogs are permitted into Target because I ran in myself when I was working in the area and grab a few things and went right back out the door wasn't in very long to see anybody with animals in the store shopping sorry darling.