Yes it should be able to run the game. I linked to a review below.
please try to clear the connector of the keyboard and fix it correctly, it may solve the problem.
The short answer is no. The computer you're mentioning is a laptop. The card you mention is a desktop video card. There is no expansion slot for the laptop you mention for a video card like the one you asked about.Now there *are* some laptops that do have the ability to replace and/or upgrade your video card. The Toshiba you mentioned is not one of them. It's video card is built right into the logic board itself.
Well you will find laptops for $430-550 but they are not all ways good. I would save up the money to add some better things like the i7 Intel core or the i5. but to answer your question I would go with Toshiba brand and get the L750 or the P750 both 15.6in.
It works on any windows computer with the following requirements:"OS: Windows Xp, Vista, Win 7Processor: 1.6 GhzMemory: 512MBHard Disk Space: 200MBVideo Card: 128mb Video Memory, capable of Shader Model 1.1(XNA Card Compatability List)DirectX®: 9.0c or Greater" (terraria.org) However, if you can't understand that, then any new/not old windows computers with 200mb of space works.tl;dr: It probably does.