If you have LW Pro you'll connect to 5 ultrapeers, if you have basic then 3 ultrapeers (if you're connected as a leaf). These connections you'll see in the Connections window & are totally different to the sources (aka hosts) which you download from. There are no servers, just other computers.

If you have LW Pro & a T3 connection it's possible to download from 14 hosts, providing they have free upload slots. A cable/dsl or T1 connection maxes out at 10 hosts. Not too sure about a modem connection. LW basic can connect to 8 hosts.

The best way to find new sources for download is to search again. Vary your search terms, try the All Types category, search at different times of day (as hosts in other time zones log on & off, new sources will become available).

There's a lot of helpful advice about configuring LW here
Configuring LW for best performance