2002 Isuzu Axiom Transmission?

This car has an automatic transmission with torque on demand. About a month ago I was driving my husband to work. Had to go up a little incline, stop, then turn right onto a four-lane highway. When I did, it felt like the back tires spun. My husband noticed it. I back into a turnaround on our driveway before heading down the driveway. I noticed the same feeling when I pulled forward at slow speed, and a little "kick" at the top of the drive before heading downhill toward the road. Noticed it again when I turned left onto the state route. This has happened several times. One day leaving work, I backed up from my space on a blacktop parking lot, stopped and gave a little gas. Happened again. My husband started driving the car last week and had the same problem. We had a mechanic drive the car, same thing. He said it was a transmission problem. Yesterday, we had the transmission filter and fluid changed. The fluid was really low and very dirty. I drove the car today and it's still doing the same thing. I know these cars are notorious for transmission problems. My husband is going to drive it again for the next few days and possibly take it for a second opinion. It has a little over 105,000 miles on it. There is no slip in the transmission, no problem changing gears. Only the rear wheels seeming to get too much power on take off, regardless of the amount of gas given. If I let the car start forward on its own before hitting the accelerator, no problem. What say you? Thanks.