I figure the best thing to do is to pay for a broadband connection. LOTR is a very patient guy to insist on using Dial up. Also, don't pay for Pro if the basic version doesn't work for you: the two versions are only slightly different so paying for pro will very likely not make any difference.
Another thing: do you browse the net at the same time you dld via LW?
Also, disable Ultrapeer capabilities from the Options since on a Dial up it probably won't do any good (you can't be an Ultrapeer unless you got Turbocharged status anyway).
Try configuring Limewire as instructed here
here . Maybe it will help with that file you are trying to get (it won't help much for the connection status though).