Unable to ping from F5 LTM to it's internal VLAN nodes

My money is on an eternal issue. All 3 hosts (1 that works, and 2 that don't) are accessed via the same network interface. The fact that 1 works indicates that there's network connectivity to the VLAN (10.2.0.0/24). However I would

1. Do you get ARP responses for all 3 hosts? or just the one that works.

2. If no arp resolution, debug that. Do you see the arp requests being sent on the right interface? Do you see the arp requests arrive at the hosts with that address? Do you see them reply? Do you see the reply get to the BigIP?

    

3. If you get the MAC resolved (ARP works) then tcpdump the interface to prove you are sending ICMP echo-requests... Again, run through the same diags as for the arp. Do you see the traffic leave the bigIP? With the right MAC address? Do you see the echo-request arrive at the destination? Do you seethe response go back? Do all the responses (echo-response) arrive back at the BigIP on the same interface that they left from? (BigIP doesn't do async routing by default)

    

Once you have done all that you may have a new direction to look into.