Networking – Netcat Command Can’t Access Open Port

I have two servers over which I am trying to install some software. One is server1(IP 10.1.2.205) and the other is server2(IP 10.1.2.206). Both are able to ping each other by name and by IP address (ie. from server2 i can ping server1 or ping 10.1.2.205)

I have the following output when I type in netstat -lnt on server1

    Proto Recv-Q Send-Q Local Address ForeignAddress State  
    tcp        0      0 0.0.0.0:111    0.0.0.0:*     LISTEN 
    tcp        0      0 0.0.0.0:22     0.0.0.0:*     LISTEN 
    tcp        0      0 127.0.0.1:631  0.0.0.0:*     LISTEN 
    tcp        0      0 127.0.0.1:25   0.0.0.0:*     LISTEN 
    tcp        0      0 0.0.0.0:52666  0.0.0.0:*     LISTEN 
    tcp        0      0 0.0.0.0:6817   0.0.0.0:*     LISTEN 
    tcp        0      0 0.0.0.0:6818   0.0.0.0:*     LISTEN 
    tcp        0      0 0.0.0.0:5672   0.0.0.0:*     LISTEN 
    tcp        0      0 :::111         :::*          LISTEN 
    tcp        0      0 :::22          :::*          LISTEN 
    tcp        0      0 ::1:631        :::*          LISTEN 
    tcp        0      0 :::36483       :::*          LISTEN 
    tcp        0      0 :::5989        :::*          LISTEN  

Now when I try using the netcat command from server2, I get the following results :

nc -v 10.1.2.205 22
Connection to server1 22 port [tcp/ssh] succeeded! SSH-2.0-OpenSSH_5.3

nc -v server1 22
Connection to server1 22 port [tcp/ssh] succeeded! SSH-2.0-OpenSSH_5.3

The problem is with the following outputs though :
nc -v server1 5989
nc: connect to server1 port 5989(tcp) failed: No route to host
I get the same response on every other port.
No other port on server1 responds.
My ports of interest are the 6817 and 6818 ports. I have an application that needs to listen and respond on these ports between these two machines.

Output of : iptables -L

    Chain INPUT (policy ACCEPT)
    target  prot opt source   destination         
    ACCEPT  all  --  anywhere anywhere  state RELATED,ESTABLISHED           
    ACCEPT  icmp --  anywhere anywhere            
    ACCEPT  all  --  anywhere anywhere            
    ACCEPT  tcp  --  anywhere anywhere  state NEW tcp dpt:ssh 
    REJECT  all  --  anywhere anywhere  reject-with icmp-host-prohibited 

    Chain FORWARD (policy ACCEPT)
    target  prot opt source   destination         
    REJECT  all  --  anywhere anywhere    reject-with icmp-host-prohibited 

    Chain OUTPUT (policy ACCEPT)
    target  prot opt source   destination    

What could be wrong ?