Item 1: The SLC & DFW 737 pilots are trained on both the -200 and -300 but the SLC pilots fly all -300 time and the DFW base does both -200 and -300's. SLC is a new 737-800 base along with a new one coming in NYC this summer. In fact, I'm probably going to transfer to SLC!
Item 2: When I went through training, we did quite a few "rudder hard-over" exercises and, when you're expecting it, it's manageable. When you have quite a bit of speed on the aircraft, you can counteract the rudder with opposite aileron fairly easy, but when the speed is low, so are your changes (ouch!)
Delta 737 Pilot