Nope … if you told Peppermint to “replace Windows” during the install, it will have reformatted the whole drive anyway 
OK, I’m going to suggest you go here:
http://linuxforums.org.uk/index.php?topic=10313.msg76517#msg76517
and do what’s in stages 4, 5, 6, and 7 of that tutorial (be aware, you will need an active internet connection whilst doing this … so connect to your router with an ethernet cable)… skip the java stuff at the bottom of stage 7 if security is an issue, or unless java is necessary.
once you’ve done that, (to add commercial DVD support) back in the terminal run these 2 commands:
sudo apt-get install libdvdread4
then
sudo /usr/share/doc/libdvdread4/install-css.sh
(YES, those commands only need to be run once)
Security …
As long as the PC is going to be connected to the internet through a NAT router (such as your Netgear DG834), the only security measure you’re likely to need is to tell him never to give out his Linux password … no anti-virus, or anti-malware necessary 
If you REALLY want to lock it down … you could create a second account, set it as a “user” account (no root access) … then don’t give him the password to the account you’re currently using, that will lock him out of everywhere on the system except his home directory but it will also mean he can’t install software so will likely call you more often 
Seriously … you don’t have to do anything … it’s already secure … this is NOT Windows, and is more secure than even your Mac 
The only thing he needs to know is not to download software from the internet (as you would in Windows or even your Mac) … instead install whatever software you want through your package manager(s) … then it all comes from trusted software repositories that are checked for malicious code.
And NEVER give out his Linux password.