Unable to make an HTTP request to my web server

I'm having trouble with an Apache web server with CentOS that I have inherited. I am able to ssh into it just fine but I'm unable to make any sort of http request. Using tcptraceroute shows that I am able to successfully ping port 80 on the server and that it is open. However, when making an actual HTTP request, it just times out and says the server couldn't be reached. Using iptables, I get the following:

Chain INPUT (policy ACCEPT 0 packets, 0 bytes)
 pkts bytes target     prot opt in     out     source               destination         
  266 39300 ACCEPT     icmp --  *      *       0.0.0.0/0            0.0.0.0/0           /* 000 INPUT accept all icmp */ 
  125  8480 ACCEPT     all  --  lo     *       0.0.0.0/0            0.0.0.0/0           /* 001 INPUT accept all on lo interface */ 
 194K   55M ACCEPT     all  --  *      *       0.0.0.0/0            0.0.0.0/0           /* 002 INPUT accept related established */ state RELATED,ESTABLISHED 
    8   480 ACCEPT     tcp  --  *      *       0.0.0.0/0            0.0.0.0/0           multiport ports 22 /* 003 INPUT accept ssh */ 
   47  2804 ACCEPT     tcp  --  *      *       0.0.0.0/0            0.0.0.0/0           multiport dports 443 /* 0100-INPUT ACCEPT 443 */ 
    0     0 ACCEPT     tcp  --  *      *       0.0.0.0/0            0.0.0.0/0           multiport dports 80 /* 0100-INPUT ACCEPT 80 */ 
   28  6797 REJECT     all  --  *      *       0.0.0.0/0            0.0.0.0/0           /* 999 INPUT reject all */ reject-with icmp-port-unreachable 

Chain FORWARD (policy ACCEPT 0 packets, 0 bytes)
 pkts bytes target     prot opt in     out     source               destination         
    0     0 REJECT     all  --  *      *       0.0.0.0/0            0.0.0.0/0           /* 999 FORWARD reject all */ reject-with icmp-port-unreachable 

Chain OUTPUT (policy ACCEPT 946 packets, 123K bytes)
 pkts bytes target     prot opt in     out     source               destination    

Any idea of what I could be doing wrong?