First off, it's against the terms of service for 000webhost to host game site scripts, such as this one, so... good luck. I would completely remove the shoutbox pages (as chat scripts themselves are also against the terms of service) and write a visible notice on your page to tell them you are merely developing/testing a site and it is not open to the public, and state that you have full intentions of upgrading to paid hosting when your development period has ended.
As for your ftp problems, double check the information that you should be giving Filezilla here:
I have had an account there in the past and it is a good host, it just has a rather strict terms of service.
(If you have further issues connecting your 000webhost account to filezilla, consult the 000webhost forums or their customer service for assistance?)