The AMD 2650 build is not going to play any game with any usable performance, even on lowest settings. It is designed for very very basic needs systems for business or so grandma can get on the internet and to her it is "fast" that it only takes 5-8 seconds for a webpage to load.
If you want something of any quality that will last and is fully adequate for the job you are going to need to increase budget to around $300.
The other factor too, while portability is nice, you are very limited. No matter how much money you have in other parts, you wont be able to play mainstream games because your case and your power supply flat out wont support a full size graphics card.