Software

What happens in the command prompt when you type in ipconf /release
then type in ipconfig /renew

If you keep getting a 169... IP address you are not contacting their DHCP system.

I just type in Ipconfig /release and i still get the same 169.254.29.30 IP Address. also when i type in ipconfig /renew.

This what i got:
An error occurred while renewing interface local Area Connection 2: unable to contact your DHCP Server. Request has timed out

So how can I go about fixing this problem on my 2nd Computer?

I dont see a default gateway listed, that means your computer cannot communicate with your router. I would try reloading that first or try a new cable if you have one. Your modem could be bad too? Definitely a possibility if you got it from a cable company.

well I dont think its my router or my modem cause i just reset them both and am using the internet on this computer so I know my router and modem is not the problem. So can any one tell me how to fix this problem?

set to hand out IP addressess through DHCP or do you need to enter a static address?
You can do an Ipconfig /all on your current system and see the Gateway, IP Address, Subnet, and DNS information.

Chances are you are using NAT addressing, so it should be in the;
10.x.x.x
172.16.x.x through 172.31.x.x
192.168.x.x ranges.

Other possibilities;
Bad cable
Bad router port
bad TCP/IP stack
bad NIC
Test the NIC and TCP/IP by typing this command from a cmd prompt.
ping 127.0.0.1

You should get a reply back (it is a self loop).

On the working computer you may check your router settings by using a browser and typing the Gateway into the address line. This should result in a prompt to enter the routers user name and password.

Checking to make sure your DHCP client service is running on your machine. You can do this by navigating to your Control Panel > Administrative Tools > Services. Double click on the one that says DHCP Client. Make sure it is set to automatic and started.