here's a build that comes in at $1090.91. $1123.61 shipped.
Its NOT really a 'server' build, except the chassis, which has 4 hot-swap slots for the hard drives. I have 4 2 TB hard drives, which you can do as RAID 10 for 4 TB with redundancy, or as RAID 5 for 2 TB. I also included a 60 GB SSD as a boot drive. The CPU is a 1055t with 6 real cores and the motherboard is an 880G with a built-in 4250 video, enough for what you are doing easily, as it just needs to connect to a console screen.
The motherboard has 6 SATA ports, enough for your 4 data HDDs in RAID 5 or RAID 10, the 60 GB SSD, and the DVD burner. You'll end up using the on-board gigabit Ethernet with this build, but see after my parts list for optional expansions. I'm using a standard 80+ Bronze PSU as well, but again, see below.
the first item is a very nice full combo of 1055t CPU, 4GB RAM, 880 Motherboard, and 60 GB SSD:
http://www.newegg.com/Product/ComboBundleDetails.aspx?ItemList=Combo.513313
Next, an entry level server chassis with 4 hot-swappable bays for HDDs
http://www.newegg.com/Product/Product.aspx?Item=N82E16811123127
Xigmatek 400W 80+ bronze PSU. well reviewed on this website
http://www.newegg.com/Product/Product.aspx?Item=N82E16817815007
4x Samsung Spinpoint F4 2 TB HDDs. FAST, as it uses 667 MB platters
http://www.newegg.com/Product/Product.aspx?Item=N82E16822152245
22x DVD burner
http://www.newegg.com/Product/Product.aspx?Item=N82E16827136168
Cheap, reliable, gets the job done.
now, this had some compromises to get to the $1000 price point.
You might consider an 80+ Gold or a Server-class redundant power supply for $100-120 more. a Sea Sonic 400W and 650W Gold-quality PSU were both $139.99. A Dynatech redundant 300W PSU was $189.99. I don't know much about them however.
Se Sonic 400W:
http://www.newegg.com/Product/Product.aspx?Item=N82E16817151097
Sea Sonic 650w:
http://www.newegg.com/Product/Product.aspx?Item=N82E16817151088
Dynapower redundant 300W:
http://www.newegg.com/Product/Product.aspx?Item=N82E16817255024
An External hot-swappable drive bay connected to the external SATA port might make swapping the drives easier in the event of a failure. Least expensive one I saw able to hold 4 HDDs was about $64.
http://www.newegg.com/Product/Product.aspx?Item=N82E16817994076
a gigabit ethernet card from D-Link is $19.99 and the easiest addition to the build:
http://www.newegg.com/Product/Product.aspx?Item=N82E16833127134