Camry Hesitates on Acceleration

Our 2000 Camry hesitates on acceleration and seems to choke. We feel the choke from the rear of the car it seems. When we turn off our AC it is better but still hesitates some. Also perhaps related, perhaps not, when we turn off the car and get out you can hear a clicking sound.

We're probably going to sell this car but would either want to fix it first or decrease the price to reflect the issue.