Haphazard, strength wise it's difficult for me to notice anything until a longer time passes. I've been recently worried about my weight as well, and I didn't notice any changes until I started watching what I ate as well as exercising. If you live a very active lifestyle, you don't need to worry so much about what you eat, but for us that live normal ones diet will be an essential key to noticing weight loss. Also, I'd recommend whatever strength training you're doing to be alternating - One day Less repititions and more weight, and the next the opposite. This will build both endurance and strength. I also recommend working out until muscle failure with strength training, instead of doing repetitions. When you count, you're putting a limit on what you're muscles are capable of. So I'd just test your abilities, record them, and then don't count while you exercise for a week or so. Then come back and test them again and see how you've progressed.
Balance issues can stem a lot from a lack of strengthened core muscles - your abdominals and the muscles in your legs.
Increased abdominal work will help, and working with those huge bouncy-balls will help with balance issues too as they force the muscles that control balance to work. In aerobics class, the instructor said she can always tell who has a strengthened core by the amount of balance people have when they first get on one of those big execise balls.
I would also incorporate lunge work into your walking to help with your legs. They're easily done, hurt fast, and are god-sends for building up leg muscles and they also force you to work out the muscles that control balance in the legs. Like, lunge to a light pole or something, then walk to recover and do it again. Or maybe when you get to a light pole, do 10 pendulum lunges (where your right foot is stationary and your left foot lunges forward.. comes back to the standing position.. then lunges backwards, and goes back to the standing position again.) and then walk to the next light pole and do the other leg.