Don't worry about the size of the pictures. I've got a 3mbps connection at home and at work.. well, I work for a telecommunications company, so you can imagine that it's not slow.
I can't figure out why you have 4 svchost's running, but I wouldn't bother with them unless someone smarter than I could tell you what they're there for. Nothing in that run directory is neccesary. That's why I like using it. The only thing in my directory at home is the program for my Microsoft Intellimouse Explorer 3.0A. However, it's only a luxury because I like using the extra buttons on the side. If I were to have it not run, the mouse would still work, just not with the two side buttons. I'm 99% positive that your zip drive is the same. The best way to find out is to export everything in that Run key. Just click on the run folder, go to the Registry menu and click on Export Registry File. I like to be sure that what I did worked (you want to be able to get those back easily if need be), so just open the .reg file from where you saved it with notepad. The file is very small and to the point. It should include everything that you have in that directory. Now, delete those files and restart windows. See if your zip drive works, and I bet it will. Those files are for extra things. XP knows what a zip drive is and how to work with it from the driver. You shouldn't need the extra programs running. If you want to just get rid of some of them, you can just keep that .reg file and delete the String Values one at a time, leaving out those that work. The nice thing about going into the registry is that you can only disable completely useless things... usually.
From what I see, ADService should be useless, but I'd see if you can find where ADService.exe is on your computer. If it's in the windows directory, I wouldn't screw with it. alg.exe is (I'm totally guessing here) some type of math program? That shouldn't need to run. I'm quite sure that the TICIcon and ADUserMon processes can go. SOUNDMAN can go. Imgicon can go. atiptaxx I'm not so sure of. Just from the ATI, I'd guess that it's an ATI program for an ATI vid card, so if you have an ATI vid card, that's probably what it is and you can get rid of it. That is, unless it's some type of overclocking program that has to stay running, in which case you have to ask yourself: is it worth it to have programs running in the background, slowing down my processor, in order to have a slightly faster vid card. Probably not, but you can make the call. Another good indicator that something useless is running is if there are things in your systray. The yellow speaker is the only thing that needs to run in order for your computer to work. Actually, it doesn't either, it's just that I can never seem to get rid of it and so I stopped trying to find out how.
If you're still not sure, then take screenshots of your registry key and post them. That will tell me what folders those programs are in. I would most definitely recommend getting rid of the zip drive programs, but you may keep them if you'd like. Before I go, there are two things I want to mention:
1) If you're on a campus network (I see the URL is .edu), it can (and probably does) cause problems with booting up. My computer, when running Windows 2k (the best MS O/S ever!) would not shut down when I was on my campus network. I thought for sure it was a Win 2k problem, but as soon as I left campus, everything worked fine. I have not had my computer not shut down on me since - except when it locks up, which is almost never. I would suspect that if you are, this is the cause of the extra svchosts.
2) The only thing getting rid of these processes does is free up system resources, like memory and clock time, and speed up boot times. Most (if not all) of them will not cause any instability problems with Win XP, so that should not be a concern. Now, with that said, I have an Athlon 2000+ and 512MB of RAM, and I still keep everything I can from running. The only difference is a few seconds at boot up, but it's still worth it to me. Maybe it's not to you. You will know if you have too many things running (if it's not your campus network) if when you first hear the windows music (if you haven't disabled it yet) and see your background. The time it takes from seeing that screen to actually being able to open a program (IE, Mozilla, Winamp, etc.) is a good indicator of how much of your available resources these programs are using up. My comp opens programs on bootup after 3 or 4 seconds. That's about as clean as you can run. XP is a little slower at this than 2k is, but it should be close. At work, I have an older comp (a Pentium Pro at unknown speeds) and it takes a good 20 seconds to do anything.