During any exercise, the important things to focus on are water and air. You must drink water throughout your work out. Not only will this prevent dehydration, but it aids in muscle development and fat loss as well.
Breathing may be the most important thing, though most people don't focus on it at all. When exercising, don't inhale through your mouth. During most exercises, you should inhale through your nose and exhale through your mouth. Pay attention to your breath. Breathe at a comfortable, measured rate. I always inhale for five counts and exhale for five counts. Make breathing part of the exercise. I exhale while pushing/pulling, and inhale during the release. Example: on leg curls, I exhale as I lift my legs, inhale as I ease them down.
Working each body part once or twice a week are both good ideas. Better results come with working it twice a week, but it does depend on the type of results you want. If you want large muscles, you should use more resistance, less reps, less often. If you want to lose fat and have a good tone, use less resistance, more reps, more often.
As for running every day, you would probably get better results if you took a few days off a week, and did some walking, hiking, stair climbing, yoga, or even nothing at all, since your body needs days of rest in order to produce results. I love to run on those tracks that are at high/middle schools. They usually have bleachers next to them and I run up and down those during my laps.
The lengths of your exercise depend on you. After a work out, you should feel energetic, not exhausted. It's okay to feel tired, but don't work out so hard that you collapse afterwards, at least not very often.
I'll post more, later. I'm having a busy day.