That's making progress.
Getting things to the point where, from each computer's point of view, you can see every other computer in the workgroup is a good first goal (in my own approach to this problem). Getting each computer beyond the "No permission to use the network resource" just means there's a little more bookwork to be done in the resource sharing settings for each computer.
So...
192.168.1.1 Is your router. It will always have that IP address (unless you decide to change the settings in the router)
I think it'll help to start referring to each of your computers by its unique name from this point on so its clear which one we're talking about. If you look at My Computer -> Properties and click the Computer Name tab, verify each computer name is unique within the workgroup. Then list for us:
Computer Name, Operating System, Computer Make/Model
when you list Operating System be sure to include Service Pack level and distinguish XP Pro vs XP Home
Looking at the other entries in LookLAN, first note the IP address your router assigns each device may change but each computer will always be uniquely identified by its computer name listed under Netbios Name. So we see:
192.168.1.100 is your printer
192.168.1.114 is your computer named OFFICE9100
For followup,
1. List the info for each computer by Computer Name
2, After you've attempted the startup process outlined by tipster for each computer (and wait a few minutes after you've completed the last computer) post the LookLAN output to show what IPs are or are not showing up
3. Indicate (by computer name) any computer you're unable to see viewing Microsoft Windows Network from a different computer
4. For each problem computers identified in 3) click to highlight the computer in LookLAN, then right click and select Do Proof Scan. Look at Active Services and as joebeard mentioned would expect ports 135, 139, 445 to all be assigned.
You can report back and, fyi, here's some handy info about File Sharing tho specific to XP Pro others OS are similar and can work out the specifics once you post back.