As for the ports shown on the left, there are 9 different input and output options.
At the top is the coaxial antenna jack, followed by an S/PDIF (optical digital audio) out jack, and then 2 HDMI input jacks.
An item to note: the "optical digital audio" means that you need to have a processor or Hi-fi system that accepts the S/PDIF to get the "full theater sound experience."
Near the middle is a VGA PIC (video) and audio input jack; from here you can connect a VGA interface, such as a computer, to the TV. Note that the quality of the picture on the TV is limited by the quality of the video card in the VGA source.
The lower half includes S-video, Video and Audio L/R jacks. You would connect your DVD player and/or VCR to these.