have you searched the red hat knowledge base for this type of problem
you are paying for red hat so you might want to use there help
you will have to login to read the posts
is this a usb mouse & keyboard
a OLD parallel port mouse & keyboard ?
a wireless mouse & keyboard ?
or is this a laptop ?
Wonder if I can do startx when in runlevel 3
startx is not needed for rhel6 ( and by it's self might not work)
rhel6 uses GDM to start x and gnome
KDM to start x and KDE if that is used