Make a note of all your settings & try deleting your LW Preferences folder whilst LW is closed; instructions here:
Fixes for Limewire
When you used LW without BT running was that a case of closing BT or opening LW when BT was closed. I'd suggest the latter.
If you have search results available & you speed drops to 1 or 2 KB/s then you can stop the downld & reselect it from the search results to downld. This can sometimes refresh the downld speed. Also doing another search for the topic.
Other thought is your isp is targeting LW thru using some kind of program filter which detects LW & reduces the speeds available. Sounds odd I know but it happens & they do it or many isp providers are starting to use various techniques now.