Iptables have both “accept all anywhere anywhere” and “drop all anywhere anywhere” rules

I' confused. This is my iptables config:

$ iptables -L
Chain INPUT (policy ACCEPT)
target     prot opt source               destination         
DROP       tcp  --  anywhere             anywhere             tcp dpt:ssh state NEW recent: UPDATE seconds: 60 hit_count: 3 TTL-Match name: sshprobe side: source mask: 255.255.255.255
ACCEPT     tcp  --  anywhere             anywhere             tcp dpt:ssh state NEW recent: SET name: sshprobe side: source mask: 255.255.255.255
ACCEPT     all  --  anywhere             anywhere             state RELATED,ESTABLISHED
ACCEPT     all  --  anywhere             anywhere            
ACCEPT     tcp  --  anywhere             anywhere             tcp dpt:http
ACCEPT     tcp  --  anywhere             anywhere             tcp dpt:ssh
ACCEPT     tcp  --  anywhere             anywhere             tcp dpt:http-alt
ACCEPT     tcp  --  anywhere             anywhere             tcp dpt:8181
ACCEPT     tcp  --  anywhere             anywhere             tcp dpt:https
ACCEPT     tcp  --  anywhere             anywhere             tcp dpt:8008
DROP       all  --  anywhere             anywhere            

Chain FORWARD (policy DROP)
target     prot opt source               destination         

Chain OUTPUT (policy ACCEPT)
target     prot opt source               destination         

I'm confused that there is both the following lines in Chain INPUT:

ACCEPT     all  --  anywhere             anywhere            
DROP       all  --  anywhere             anywhere

I cannot actually determine that port 25 or 587 (where postfix is running) is open from outside, or MySQL port 3306.

The question is: why I'm seeing that ACCEPT rule?

This is how my iptables are set with:

#!/bin/bash

# ATTENTION: flush/delete all existing rules
iptables -F

################################################################
# set the default policy for each of the pre-defined chains
################################################################
iptables -P INPUT ACCEPT
iptables -P OUTPUT ACCEPT
iptables -P FORWARD DROP

# allow establishment of connections initialised by my outgoing packets
iptables -A INPUT -m state --state RELATED,ESTABLISHED -j ACCEPT

# accept anything on localhost
iptables -A INPUT -i lo -j ACCEPT

################################################################
#individual ports tcp
################################################################
iptables -A INPUT -p tcp --dport 80 -j ACCEPT
iptables -A INPUT -p tcp --dport 22 -j ACCEPT
iptables -A INPUT -p tcp --dport 8080 -j ACCEPT
iptables -A INPUT -p tcp --dport 8181 -j ACCEPT
iptables -A INPUT -p tcp --dport 443 -j ACCEPT
iptables -A INPUT -p tcp --dport 8008 -j ACCEPT
#uncomment next line to enable AdminGUI on port 4848:
#iptables -A INPUT -p tcp --dport 4848 -j ACCEPT

################################################################
#slow down the amount of ssh connections by the same ip address:
#wait 60 seconds if 3 times failed to connect
################################################################
iptables -I INPUT -p tcp -i eth0 --dport 22 -m state --state NEW -m recent --name sshprobe --set -j ACCEPT
iptables -I INPUT -p tcp -i eth0 --dport 22 -m state --state NEW -m recent --name sshprobe --update --seconds 60 --hitcount 3 --rttl -j DROP

#drop everything else
iptables -A INPUT -j DROP
################################################################
#Redirection Rules
################################################################
#1. redirection rules (allowing forwarding from localhost)
iptables -t nat -A OUTPUT -o lo -p tcp --dport 80 -j REDIRECT --to-port 8080
iptables -t nat -A OUTPUT -o lo -p tcp --dport 443 -j REDIRECT --to-port 8181

#2. redirection http
iptables -t nat -A PREROUTING -p tcp -m tcp --dport 80 -j REDIRECT --to-ports 8080

#3. redirection https
iptables -t nat -A PREROUTING -p tcp -m tcp --dport 443 -j REDIRECT --to-ports 8181
################################################################
#save the rules somewhere and make sure
#our rules get loaded if the ubuntu server is restarted
################################################################
iptables-save > /etc/my-iptables.rules
iptables-restore < /etc/my-iptables.rules
#List Rules to see what we have now
iptables -L

EDIT:

As per a comment by @Michael Hampton this is the output of iptables -v -L

Chain INPUT (policy ACCEPT 0 packets, 0 bytes)
 pkts bytes target     prot opt in     out     source               destination         
    0     0 DROP       tcp  --  eth0   any     anywhere             anywhere             tcp dpt:ssh state NEW recent: UPDATE seconds: 60 hit_count: 3 TTL-Match name: sshprobe side: source mask: 255.255.255.255
    0     0 ACCEPT     tcp  --  eth0   any     anywhere             anywhere             tcp dpt:ssh state NEW recent: SET name: sshprobe side: source mask: 255.255.255.255
1580M 1033G ACCEPT     all  --  any    any     anywhere             anywhere             state RELATED,ESTABLISHED
  25M 1524M ACCEPT     all  --  lo     any     anywhere             anywhere            
 824K   33M ACCEPT     tcp  --  any    any     anywhere             anywhere             tcp dpt:http
 186K   11M ACCEPT     tcp  --  any    any     anywhere             anywhere             tcp dpt:ssh
2053K  115M ACCEPT     tcp  --  any    any     anywhere             anywhere             tcp dpt:http-alt
  40M 2302M ACCEPT     tcp  --  any    any     anywhere             anywhere             tcp dpt:8181
5272K  226M ACCEPT     tcp  --  any    any     anywhere             anywhere             tcp dpt:https
 183K   11M ACCEPT     tcp  --  any    any     anywhere             anywhere             tcp dpt:8008
 858K  106M DROP       all  --  any    any     anywhere             anywhere            

Chain FORWARD (policy DROP 0 packets, 0 bytes)
 pkts bytes target     prot opt in     out     source               destination         

Chain OUTPUT (policy ACCEPT 1845M packets, 1964G bytes)
 pkts bytes target     prot opt in     out     source               destination