Well, as a frostwire mod.. I must agree, there's been a surge in dirty rotten spammers on the gnutella network.

Apart from blocking them not much you can really do against them.. But let's try to deal with your connection problem, before we takle anything else :P

Click your connection tab, highlight them all, and click 'del' frostwire will replace them automatically, then research.

Alternatively, file >> disconnect >> wait 2 minutes >> file reconnect/connect

But do remember, you can only download what is being shared (: Hope this helps.