hello. ^_^ a video card and a graphics card are the same thing. the term is used interchangeably. however, "video card" is a bit older, most people just call them graphics cards now.
the i3 sticker refers to the processor in your machine. as a rule of thumb, unless you have a high end laptop then its only going to be capable of playing lower end games. if you're happy with that that's fine of course.
if you would like me to design a desktop machine for you, it would be my pleasure. the most important thing to know is your budget though. after that, what would you like the machine to be capable of? (gaming, video editing, streaming/recording, mining* and at what resoultion) last, how much room would you like to upgrade, as in, do you want the ability to add a second graphics card in the future or add more hard drives, that sort of thing.
*you probably don't want a mining machine.