First off, I would definitely agree with your choice for a Glock. I own a Glock 22, and I love it. It is an amazing handgun, and I have never had a single problem with it. It is easy to disassemble and clean, reliable, accurate, and relatively inexpensive, especially since they offer a great military discount (I'm active-duty Army). I would recommend this weapon to anyone for personal protection, because you can pick it up and it will go bang everytime. The Glock 17 would be a fine weapon, or if you wanted a little more stopping power, I'd recommend a Glock 22 or 23 in .40, or a Glock 21 in .45. Also, the Springfield-Armory XD series is another good alternative. I have an XD40 Tactical, and it has served me very well.
As for the rifle, an AR15 would be a good way to go. I'd go with an M4, though, because they're lighter and more compact. Rock River Arms have some exceptional rifles, as well as Bushmaster, and you can find them in the $800-$900 range, depending on what kind of options you're looking for. Although they don't have the same kind of range as the ARs, another good alternative would be a carbine in a pistol caliber. A Ruger PC4 in .40 is a good choice, or even a Hi-point 9mm carbine, which can be had for under $200. The Beretta CX4 Storm seems interesting as well, but I don't have any personal experience with it. Also, if you can find one in good condition, I'm a huge fan of the M1 Carbine (I'll finally be getting one in a few weeks!). In the end, it depends on what you're looking for. In my opinion, the M4 is probably the best all-around rifle, as it has pretty decent range, is light-weight, accurate, easy to disassemble, reliable (as long as you take care of it), and uses pretty inexpensive ammunition. That being said, if you don't care about the range, one of those carbines listed above may suit your purpose just as well, for much less.
Ok, everyone needs a bolt-action rifle. All kinds of different calibers available for this one, ranging from the likes of the 30-06 to a .22. I'm a big fan of the 30-06, myself, but after firing more than 10 to 20 rounds, it tends to leave your arm kind of sore. Lots of smaller calibers out there will do the job just fine. For the money, Remington and Savage make some fine rifles. Also, there are a lot of great military-surplus rifles available that are accurate and very cheap. A Swiss K31 is a very accurate rifle, and you can find one in the $150 to $200 range. With mil-surplus rifles, just be careful of the bores, because if the rifling is gone, you won't be able to hit anything more than 10 feet out. Mosin-Nagants are pretty good rifles, too, and you can find an M44 or M38 for under $100. Now, as for the uzi carbine you mentioned, I would say that most of the carbines I mentioned above would be a better alternative. All of the carbines above can be found in 9mm, 40., or .45. I also noticed you didn't mention any shotguns; a 12-gauge is another choice for home-defense. The sound of the pump-action alone is enough to scare away most intruders. The Mossberg 500/590 series, Remington 870, and Winchester 1300s are all great shotguns and pretty reasonably-priced. This is just my own 2 cents on the subject. I apologize; I rambled a bit more than intended.