S.G.
The fact that the Start button is off screen is an odd one, usually it's difficult to put that "off screen". My bet is that the monitor itself has had its buttons played with, not the software. Look for a "menu" button or something similar, and try to change the vertical size and horizontal size (and/or position) and move things around. Some monitors have buttons for directly changing image size or position. BTW: is the Windows boot-up screen really big, too (before the login)? If so, that would confirm the monitor being tinkered with.
(I just tried - I can't move it off screen at all, and I've been a Windows software developer for about 10 years.)
For my kids, we've given them their own logons (no password), and when the computer flips to screen saver, it makes you pick your logon. The kids' logins are "user" level and can't change the computer in any way at all. This wouldn't solve your monitor issue, but would save you grief in the future.