Hello Snehashis,
Welcome to the HP Forums! I understand your concerns with your Laserjet 1020. I can only provide troubleshooting steps to an extent for printers on a shared network.
Please follow this Microsoft document on Troubleshoot file and printer sharing. Even though this document refers to a different operating system, the steps will be the same.
Next, you can download this on Troubleshooting File and Printer Sharing in Microsoft Windows XP.
Please post your results. Looking forward to hearing from you.
Have a great day! :smileyhappy: