Keep saving. You can't find anything remotely adequate under $ 1K. Take a look at the FAQ section http://forums.adobe.com/community/premiere/hardware_forum?view=overview and specifically http://forums.adobe.com/thread/947698
[moved to hardware forum]
>adobe cs6 elments, specially in premioere pro cs6
I am confused... do you mean Premiere Elements or Premiere Pro?
As well as what Harm posted, some other messages about building a Desktop Video Editing PC
-3 price level ideas in http://www.pacifier.com/~jtsmith/ADOBE.HTM
-2 how to build videos http://forums.adobe.com/thread/1104182
-another video http://forums.adobe.com/thread/1145366
-planning & Building http://ppbm7.com/index.php/intro-part-1
-memory for LGA2011 http://forums.adobe.com/thread/1098759
-an Adobe FAQ http://forums.adobe.com/thread/878520
-several more links http://forums.adobe.com/thread/815798
-build tuning http://ppbm7.com/index.php/final-results
I'd have to agree with Harm. You're looking at $300 to $500 just for the CPU, and you still have to add motherboard and memory.
I also second Harm: The CPU that you really want is already at or over your combined total budget limit - and that does not even include a new motherboard, an upgraded GPU and additional RAM and disks. And since it appears that you have only one disk for everything including the OS (with absolutely no additional disks whatsoever - either internal or external), this makes the only truly cost-effective upgrade to your current system to be a couple of additional hard drives. After that, consider upgrading the GPU (and yes, even a relatively cheap GTX 650 (or due to that AMD CPU that's no faster than a five-year-old Intel Core 2 Quad, even a really cheapo GT 640) would be an improvement over your current HD 5670 that cannot use MPE's GPU acceleration feature at all due to the complete lack of OpenCL GPU acceleration support in the officially released Windows versions of Premiere Pro CS6).
Above is a video clip of a system that was about 1,000.0 even. My system had a 2.8 GHZ Core i7 and a GT 240 graphics card. You could probably get a better CPU (buy Intel i7) and GPU for that same price today. I replaced the GT 240 with a GTX 650 Ti and now my system rocks. You can build a good system for $1,000.00 if you know what you are doing.
You don't need to start watching the video clip until about 2:45.