New graphic card and mem

hello everyone. 1) am looking to change my graphic card. its really bad am getting black backrounds in games and square pixels alot!. i cant play my images mess up, that is the graphic card rite?

2) i seem to get blue screens everytime i run a third party tool it messed up, the bsod says its a mem, then shadowing. and other stuff. i never had a problem with my memory till i switched it. i saw online that when you buy 2 sets of rams instead of a four pack it can be a problem. please help me pick a new graphic card thats better then my radeon 6870 and new mems my mobo is a sabertooth x79.

here is my build atm

Operating System: Windows 7 Home Premium 64-bit (6.1, Build 7601) Service Pack 1 (7601.win7sp1_gdr.120503-2030)
Language: English (Regional Setting: English)
System Manufacturer: System manufacturer
System Model: System Product Name
BIOS: BIOS Date: 05/24/12 14:35:09 Ver: 12.03
Processor: Intel(R) Core(TM) i7-3820 CPU @ 3.60GHz (8 CPUs), ~3.6GHz
Memory: 16384MB RAM
Available OS Memory: 16356MB RAM
Page File: 5281MB used, 27429MB available
Windows Dir: C:\Windows
DirectX Version: DirectX 11
DX Setup Parameters: Not found
User DPI Setting: Using System DPI
System DPI Setting: 96 DPI (100 percent)
DWM DPI Scaling: Disabled
DxDiag Version: 6.01.7601.17514 32bit Unicode

Display Devices
---------------
Card name: AMD Radeon HD 6800 Series
Manufacturer: Advanced Micro Devices, Inc.
Chip type: AMD Radeon Graphics Processor (0x6738)
DAC type: Internal DAC(400MHz)
Device Key: Enum\PCI\VEN_1002&DEV_6738&SUBSYS_174B174B&REV_00
Display Memory: 730 MB
Dedicated Memory: 1000 MB
Shared Memory: 3826 MB
Current Mode: 1920 x 1080 (32 bit) (60Hz)
Monitor Name: Generic PnP Monitor
Monitor Model: Acer S231HL
Monitor Id: ACR01A6
Native Mode: 1920 x 1080(p) (60.000Hz)
Output Type: DVI
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More about graphic card
  1. get some corsair vengeance low profile ram, and what is your budget and needs when it comes to the video card?
  2. can anyone help me please. i need a graphic card better then 6870 radeon saphire that can go with my mobo and vengance ram
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