Track Your Runs:
I use the Nike+ Running app to track and record all of my runs. There are a number of apps out there. Use whichever one you like, just make sure it's properly setup. If you're using the Nike App, make sure the Auto-Pause feature is on. That way you don't have to worry about stopping your runs when you're waiting at a traffic light, or stopped for a breather (don't worry, I'm not judging you).
Don't Worry About Your Pace:
You're new at this, so you just being out there is an accomplishment in itself. More important than the pace you're running at is how frequently you run. Starting off you want to build strength, and give your body a chance to get used to running. After about 2 weeks of consistent running you'll begin to feel stronger. After you build strength, you can work on running faster.