If you only have PCI and a PCI 1x, the system will be bad for any games. Upgrade to a system with a 16x slot and get either a Radeon 6670 or a GeForce GT 440 if you want a cheap card for games. Just make sure the power supply is a good quality of at least 300 watts.
Both plans are not that good. But plan two is your better bet and with that plan you will probley be abe to play some of the games at very low settings and will be low FPS depending the resoulation you are using.
How ever with plan two you can up grade to a 6670 just make sure that your as stated above PSU is 300w or bigger. Good luck to you and have fun gaming.