How safe is it to host an HTTP Apache server at home?

I have an old server with Ubuntu server and Apache2 installed. I am using it to run a small one page site. I am using 'freenoms' for the free domain 'musicmash.tk' which is connecting to my public IP. The router is just a simple ISP one which is forwarding the server's port to for HTTP (which i think is 80). I am not conceed if someone can wipe the server so much as gain access to the rest of the network (like Samba shares). Should I be conceed about security? Is there anything I can easily do to increase security?

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