In the video she looks like she's panting (maybe respiratory distress) along with the sneezing. She's not going to want to be held, so don't try. She's not going to give a normal squawk either.
Have you added any new chickens to your flock in the last 30 days?
If she continues like that...
The crop is on the right side, it's a pouch that hold food/water. If she's been eating/drinking today, you will probably feel food in there, so it's hard to gauge function. I would check it when she goes to sleep tonight, then first thing in the morning so you can compare it - the crop should...
She's sneezing.
How does her crop feel? Is it emptying overnight?
Have you looked inside the beak for canker, plaques, lesions?
Any mucous from the nostrils, watery/bubbly eyes?
Can you take video of the weird squawk so we can hear it? (upload video to youtube and provide us a link)
You know it...I'm going to ask for photos too:D One of Popsicle, her vent and her poop if you can please.
How old is she?
Is she acting lethargic?
How does her crop feel?
A yellow...