Wireless card won't fit into connector on the board.
You have three boards. 820-2610, which is old core 2 duo based junk, 820-2849 which is i5/i7 with a good NVIDIA GPU, and 820-2914 which is a newer chipset but with that garbage radeon junk that keeps dying.
You can go from 820-2849 to 820-2914, which I would not advise doing unless you want to see it die. But, you cannot go from the 820-2610 that you have to anything else.
If you want to see speed, get SSDs. I define any computer using a spinning drive as BROKEN and once you use a proper SSD you will too. Even hybrid drives are bunk compared to an SSD. You can have the fastest 16 core processor, dual GPU 32 GB RAM setup there is, if it runs off a junk mechanical drive it will work like GARBAGE. It pulls the potential of the entire system down.
Same with RAM, you can go from 2 or 4 GB to 8 or 16, it will still be slow off a mechanical drive. The mechanical drive is the bottleneck here.
Do this. Get rid of the optical drive, and the hard drive in the main bay. Buy two Crucial MX100 SSDs, 512 GB each. Put them in RAID 0. You'll get a terabyte of storage and over 800 MBps read/write real world speed. This will kick the snot out of a lot that costs much more, and you're looking at a total investment of $425. This is way less than the cost of a new board, and will make a real world difference you do not believe.