iptables for eth0 and eth1

Hi,

setting up my hardware which has two ports (eth0 and eth1)
eth0 is for inbound traffic, eth1 for outbound.

Yet I do reach Internet ( thru eth1 ) but do not reach local IPs ( 192.168.x.y )
what am I missing here, I want to use at least dns and ping thru eth1 to local addresses but preferably all outgoing ( also internet ) traffic is allowed.

# Delete all existing iptables rules
iptables -F

# Set default chain policies to DROP all
iptables -P INPUT DROP
iptables -P FORWARD DROP
iptables -P OUTPUT DROP

# Allow all outbound traffic eth1 - including internet
iptables -A INPUT -i eth1 -m state --state ESTABLISHED,RELATED -j ACCEPT
iptables -A OUTPUT -o eth1 -j ACCEPT

# Allow incoming SSH traffic solely on eth0
iptables -A INPUT -i eth0 -p tcp --dport 22 -m state --state NEW,ESTABLISHED -j ACCEPT
iptables -A OUTPUT -o eth0 -p tcp --sport 22 -m state --state ESTABLISHED -j ACCEPT

Adding these does not seem to work :
iptables -A INPUT -i eth1 -p udp --sport 53 -j ACCEPT
iptables -A INPUT -i eth1 -p icmp --icmp-type echo-reply -j ACCEPT

Is it needed to add
iptables -A OUTPUT -o eth1 -p icmp --icmp-type echo-reply -j ACCEPT
iptables -A OUTPUT -o eth1 -p udp --dport 53 -j ACCEPT

If I leave out eth1 switches it works but all outgoing traffic should go thru eth1 only.

Anyone, please?
TiA!