Connect the speed sensors later, after you have tested the car with the robot-car.ino sketch. IIRC they conflict with Prof. Edwards' pin allocation, so you'll need to move some wires and edit the sketch. They each need three wires, +5V, Gnd and DO back to the arduino sensor shield. Don't connect sensor AO. The DO pins need to go to Arduino INT0 (Digital pin 2) and INT1 (digital pin 3) as the Arduino needs a fast way to count the pulses.
For the power wiring for the six cell holder, the easiest way to do it is with a rightangle DC plug that fits the Arduino DC in jack. Call the L298 blue three way screw terminal block T3, with pin 1 next to the mounting hole, (may be marked +12V on PCB underside).
POWER WIRING
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6 cell Bat(+) --- Switch(1)
Switch(2) ---- L298 T3(1) ---- Arduino DC In center (or VIN)
6 cell Bat(-) ---- L298 T3(2) ---- Arduino DC In shell (or GND)
L298 T3(3) ---- Sensor shield VCC
Make sure the jumper next to the L298 three way screw terminal block is fitted and the one marked SEL next to the sensor shield two way screw terminal block is removed. Don't connect anything to sensor shield screw terminal GND, it gets GND via the Arduino (you can use this as a test point for your DMM's black lead).
For the duPont wiring, and the L298 module to motor wiring, follow Prof. Edwards' tutorial.
Post photos of the assembled power wiring for us to check before fitting the batteries!