L Master is absolutely right. When trying to develop a little strength and muscle, remember balance is the key. You want to spread out the workout to touch on as many body parts as you can.

Muscle burns calories so it's always a good weight loss policy to try to build up a little more muscle. But only focusing on one or two body parts will have negative effects.

I'm not an expert runner by any means, but I have been lifting weights for years. If you don't want to go to the gym that's fine you can get a decent workout from home. I suggest you go buy yourself 2 adjustable dumb bells and an arm curl bar. There's dozens of exercises you can do with just those.

Your running goals seem fine, slow to start, gradually running more then you walk. As for weight lifting, maybe put in 20-30 minutes 3 times a week. Light weights, high reps, and very short breaks between sets.

If you add some light weight training to your jogging, you'll really turn your body into a calorie burning machine. You'll LOVE the results and you'll feel better then ever.

Well if you are just doing 1 set, of course you won't actually see any results in your upper body. And certainly not after only 2 weeks.

The thing about weight lifting is that in order for it to have any effect on your body at all, it has to be hard. You can't just go through the motions because of how muscle is built up in your body. You have to actually break down the muscles too allow your body to regenerate bigger and stronger. It's no different really then when you break a bone in your body. Often times the way your body regenerates, the broken bone actually repairs stronger then it was before. Muscle building is the same. You are actually breaking them down, then during your recovery time it is built up slightly stronger then the last time. If you repeat enough times, of course you see serious results.

So for weight training if you aren't tired and sore, especially at the start of your training, you just aren't pushing hard enough. Keep up the high reps, but try to do 3 sets. Also, in order to get the best results, your last rep in any set should be difficult. Almost to the point where you couldn't do 1 more. High reps does not mean 25 easy ones and stop. It means instead of doing 8 easy ones and not being able to do 9, you do 25 and not being able to do 26.

But good luck, it seems like you are sticking to the plan which is great.