The error only indicates that the file "ASUPPLICANT.DLL" is missing or corrupted or deleted or infected by virus, etc... It only shows the absence of the file. And you know it's a component of the windows, you need to run a deep registry cleaning and virus scanning to get rid of this error. Sometimes cleaning or scanning is not helpful in that case, you'll need to reinstall/repair the wndows. Download this small application to run the registry cleaning (click here)
. Open the link, click the purple "Download Now" button, wait for 20 seconds and again click the blue "Download File Now" link. Save the file and then install it. After it's installed, close all the running programs including the browser/s and open the program Ccleaner, click "Run Cleaner" and proceed with the system cleaning. After it's done, click "Registry" on the left pane (blue icon) and then click "Scan for issues", wait for few minutes until the scanning progress reaches 100% and again click "Fix all selected issues" > "No" > "Fix all selected issues" > "Ok" > "Close" and close the program, restart your computer and check whether the problem still persists or not. If the problem persists, run a full virus scan using an updated antivirus (you can use free avira antivirus, and can be downloaded from the www.avira.com which is very effective with this kind of issue).
You can also do something more, but you'll need another system with windows 98 installed. If you can find one, copy the "ASUPPLICATION.DLL" from the other computer which is located on the folder C:\Windows\System32
folder, save the file on a Flash drive or on a Cd and paste it into your computer's C:\Windows\System32
folder. Restart your computer and check again.
If the above mentioned tips and methods don't help, you'll need to reinstall the windows.
There seem to be another issue with your system when you say "System administrator". but that must be related to registry issues as well, so try the mentioned tips and let me know if the problem persists.
Thanks for using FixYa.