If you refill your 32 oz glass 7 times, that's 28 servings. That's much more than you need, but if you're healthy, it's not going to hurt you. If there's any history of kidney disease in your family, ask your doctor if it's all right.
If you don't have any health problems, your body can handle the water as long as you don't drink it all at once. It's true that people have gotten sick and even died from too much water, but that has only happened if...Warning: TMI ahead...
It only happens if you drink a huge amount all at once and you don't go wee-wee. The deaths have been fraternity pledges in hazing rituals where they're forced to chug gallons and then humiliated if they wet themselves, or little children being abused by a sick-o who's trying to force potty-train them, or, in one famously stupid case, a woman in a contest called "Hold your wee for a Wii." If you did get into this situation, you would have warning. You get a horrendous headache and start acting drunk, and if the people around you aren't idiots, they'll realize something is very wrong and rush you to a hospital.
As for tracking your walks, try this website: www.gmap-pedometer.com/
It uses Google maps to let you draw your route and measure it. Then use your timer to figure out the speed. Google maps are about as accurate as you can get, and if you live in a city, the map is detailed enough to find your own driveway.