Reset memory on mac mini - Office Equipment & Supplies

It came with a max memory of 1Gb. As it is now obsolete, there is no support nor option for upgrading.

check your hard disk space
check your temporary files and drop them
check your version of System Operating
check if your mac mini can be add more memory ram

If you boot the Mac Mini from the system disk and go into Disk Utility you will be a able to resent the admin password for the computer.

Your best bet beyond maxing out memory will be upgrading to an SSD. Depending on your operating system and versions of installed software, try using a program like XSlimmer to remove any powerpc files included in universal bundles.

reboot the mac pressing C key during startup when having the mac install disc that came inside the box with the computer inserted

You'll be very lucky. MAC mini and windows CE are very reduced operating systems with low/restricted memory.

Mini's are only configured for the basic of needs most being internet connections.

The LG 32LD550 television has HDMI and VGA.
Your iMac has a mini-DVI output port with support for DVI, VGA, S-video, and composite video connections via adapter.
So all you need is either:
1) mini-DVI to VGA adapter.
2) mini-DVI to HDMI adapter.

HDMI is better quality, and so I'd recommend something like this: http://www.amazon.com/PTC-Mini-DVI-Adapter-6ft-Macintosh/dp/B001H0REVK (You may want a longer cable though).

Can't guarantee these since I no longer have access to a mac, but here's a site with the mac version of the drivers.

http://software.informer.com/getfree-dynex-6--in--1-mac-drivers/

You can buy memory and find out how much your mac mini can hold by going here http://www.crucial.com/ I would be able to do it for you but I don't know which model you have. As far as replacing the memory its not for the faint of heart but this tutorial will get you through http://www.methodshop.com/gadgets/tutorials/macmini-ram/index.shtml