car not moving,and erratic exceleration

We just bought this new Hyundai Tucson AWD in march with in a week we had our first problem with the transmission ,i pulled up to a store front to let my wife out i put the car in park to let her out then put the car in drive and tried to to take off and it would not move, i shifted the car in reverse, drive and tried sport/manual shift back to drive and accelerated to about 2500 RPMs and the car would not move. I put the car in park ,shut the car off, restarted it put in drive and it was fine. When i took the car for a test drive on a rainy day i noticed it was kinda accelerating funny, real jumpy and acted like the tires was slipping on wet pavement,but i didn't think much of it then because of the rain,but after owning it now,my wife and i have noticed the one time you can step on accelerator pedal and will act sluggish then another time will act like a jack rabbit start,and some time i get that fell like the tires are spinning but i don't think the car is moving because the transmission is slipping.If it don't get better i will take it in for service.