Isuzu transmission?

I have a 2002 Isuzu Axiom. It was purchased brand new Jan.2003 and has about 96,350 miles. It is an automatic V6.Over the last 2 mts, I have noticed that when I press on the gas, the SUV hesitates between 1st & 2nd gear. Until the car gets past 2000 RPM, it feels like it is going to stall out. If I press on the gas too hard, the SUV feels like it is going to “jump” out ahead of me, if that makes sense. We think it’s the transmission. What do you think?