Can you give us a total desciption of your set up:
1. OS version? (eg: Windows 98)
2. What firewalls you have?
3. ram?
4. HDD space available?
5. Connection type? (eg: dialup, broadband, cable, etc.)
6. Modem & router brand name & model numbers?
7. Where are you trying to connect from (home, school, work, etc.)?
8. What version of
Java do you have? (Go to LW's menu Help>About LW...)
These details are vital if you want us to find out what your connection problem is.

Go to LW's Tools>Options>Speed & tick Disable Ultrapeer Cap. & press the Apply button. Also close any windows you're not using at that time (eg: Connections, Monitor, Library windows) Go to menu View>Show/Hide...

Set your downlds to Auto-clear. Get rid of search results that are several hours old. Don't downld too many files simultaneously.
Don't use the Resume/Find Sources button on all of your incomplete files. This will play havoc with LW's connection quality & may also use up your comp's resources, etc.

If necessary reduce your upload bandwidth to 70-80% or less.
And if you've had incompletes sitting at 0% for many months, then delete them from the downld list & also the incomplete folder (but be very careful to choose the right ones!!!)
See if these suggestions help.