Autoconfig IP address: 169.254.210.198
169.254.x.x = APIPA (automatic private IP assignment protocol... something Windows made up that no other OS does). Windows shouts "IS ANYONE THERE?" if you use DHCP. If no DHCP server responds and says "Hey, you! Yes, you! You're 192.168.1.101!" then Windows takes the 169.254 subnet and tries to randomly ping an address on it. If there's no response, then Windows assigns that IP to you.
Since your router is not using 169.254.x.x, then this subnet becomes unroutable and is a flat network. You can't get anywhere on it.
The trouble here... is why you are not getting any response to your computer shouting "IS ANYONE THERE?"
Given the age of the computer, it is probably a Link Layer problem and has nothing to do with IP connectivity.
To resolve it, go into your NIC properties and manually set the negotiation speed for your network adapter. To get to it, right click on "My Network Places" on your desktop and select properties, then right click on your Local area connection and go to properties. Choose the Advanced tab, and look for a setting that may say something like "Speed And Duplex". It's probably set to "Auto" right now. It's gonna have the following choices:
-10mb half duplex
-10mb full duplex
-100mb half duplex
-100mb full duplex
-auto
All this means, is prior to trying for IP connectivity, the NIC first has to make sure it's on a valid Ethernet segment that communicates according to established rules. This is "Layer 2" topology of an industry standard called the OSI model. Layer 1 is physical (copper cables, fiber optic, etc).
Part of this is the speed and duplex settings... can we talk at the same time or do we have to take turns listening/talking? How fast can we go?
As NICs and switches get old, some incompatibilities arise with new hardware.
Try manually setting your computer to 100mb-full duplex, then performing an "ipconfig /release" and "ipconfig /renew" to see if you get a valid IP address. Try the same thing with all 4 manual settings until you get a valid IP.