There are reasons for 1.6 not working correctly, but we will not discuss the technical jargon here as you have requested. The LimeWire team has addressed the issue and released a slightly modified version of LimeWire. This has been shown to solve your problem.
http://www9.limewire.com/download/LimeWire16d118.exe
This should do the trick. It's 5.5 MBs (should be no problem for you since you use ADSL). Happy downloading. :-)
Please let us know if it worked for you.