Installation of programs in restricted profile of NT

[bolo]

At a small library, two Gates Program Windows NT 4.0 computers are
linked, peer to peer. The public accesses a users
profile which is set to read, to lessen monkey biz. There is
administrator profile also. I cannot find out on the net if 1) I can
change the public profile, install more software, then change it back in
terms of permissions; 2) how to make an auto logoff
work with such a system as the restrictions seem to prevent the public
profile from finding what gets installed under
administrator. I see no direct answer to this anywhere on the net for
this sort of set up. The computers simply share printer and
modem. I get an error message of auto exit.exe not found by shortcut if
I install under administrator and log on as public,
regardless what startup folder I drop the short cut in."  Have been
trying freeware program Auto Exit Millenium at softseek.com.  Author of
program  says its a matter of the computer's security features.  Walk me
through this one, its not a matter of a NT server, just two  computers
set up peer to peer as workstation 1 and 2.  This could be about any
program to install in public profile after initially having restricted
the profile.  Email would be appreciated.