If you are a proper beginner, you shouldn't go out running more than 3-4 days. So, two days off is in schedule actually!
Here's a theory by Dr Lipman: When you overwork your body you are not allowing it to recover. When you keep on beating your body (causing that way minor damages to your muscles and tendons) the fascia is getting tight(er) and constricted. That can cause that feeling of heaviness and fatigue (stiffness and pains are to follow). So, days off in your training and proper streching (after your sessions) will help you avoid days like yesterday.. But when you do, a mild exercise (a bit of jogging as SB suggested, or cycling which is the perfect cross training) will help you recover.
Btw, 2 miles for a beginner is not pitiful distance by any means.. Most people start with 1min running / 1 min walking mind you...
Well, what Bex's saying is true, however there is an end at the end of the tunel, which is never the case with the gym. You will still need the "gear", plus the membership which can't be any cheeper than, what? 30? 40 pounds? To say the least! So the way I see it, you can buy a VERY decent pair of shoes every two months! Put a third gym-month and you have your running bra bought (plus a few goodies).. Fourth month pays for all the rest of your gear for a whole year at least..
As for the weight training.. There are plenty of circuits using just your body weight which you can do at home on in your local park!