So search results show up ok right?! You need to select the file you want to downld from the search results & press the downld button. Also see the following link & follow all the off-shoot links to find hints & extra skills to help solve your problem: To continue files downlding (click on link)
But be aware of this Licence requirement (click on link)

BTW can you see the downld window? If not, there's 2 solutions. 1. Drag the small arrow at the bottom up so you can see the window. 2. Easiest is deleting your LW Preferences folder whilst LW is CLOSED; instructions here: Fixes for Limewire