Hi CaioVictor,
I would remove this from your code;
# Web server (http, https)
$IPT -A INPUT -p tcp --dport 80 -m state --state NEW,RELATED,ESTABLISHED -j ACCEPT
$IPT -A OUTPUT -p tcp --sport 80 -m state --state RELATED,ESTABLISHED -j ACCEPT
$IPT -A INPUT -p tcp --dport 443 -m state --state NEW,RELATED,ESTABLISHED -j ACCEPT
$IPT -A OUTPUT -p tcp --sport 443 -m state --state RELATED,ESTABLISHED -j ACCEPT
# Web Client
$IPT -A INPUT -p tcp --sport 80 -m state --state RELATED,ESTABLISHED -j ACCEPT
$IPT -A OUTPUT -p tcp --dport 80 -m state --state NEW,RELATED,ESTABLISHED -j ACCEPT
It should work fine; you do not need port 80 to be opened if you are not hosting your website on your server itself.