The Packard bell question was because there was a whole load of Packard bells that came with system restore disabled as they had a recovery partition built in. If this was the case you could restore the PC to factory default by running this from safe mode.
A lot of pcs have this other than Packard bell though, so if you go in to my computer how many hard drives do you see? Is one quite small (in GB)?
The keyboard question was because if there is a stuck, or damaged key on the keyboard, that could be causing the boot in to safe mode, trying a different, or no keyboard would rule that out.
If this doesn't solve the problem then the other things to try are clicking start, run, and then typing sfc /scannow then after that runs through seeing if that's solved it.
If not, click start, run and then type msconfig, go to the boot.ini tab and unstick the /safe boot box if it is ticked, then restart and see if that's solved it.