Impossible to know when not using a proper client, which would provide that info. Limewire either works or it doesn't. Unless it's due to hard drive space/issues, RAM etc.

Try one of the same torrents in e.g. uTorrent, to see if it's Limewire specific (e.g. peer ban, program fault) or you don't have seeds. Note peerbans are IP specific, so if Limewire ban peerbanned, then uTorrent won't connect to that seed either. Also you could force check the torrent using uTorrent, same as you could with Vuze, like LOTR mentioned in above post.