Unable to browse VIP from my LAPTOP of F5 VM LAB setup

Okay, so most likely vmnet1 is your management interface (on the 10.128.1.0/24 network), which leaves vmnet2 (192.168.1.0/24) and vmnet3 (172.16.0.0/16) for data plane interfaces 1.1 and 1.2. Your VIP is on 10.10.4.100, but that doesn't match any of the self-ip subnets. I'm guessing you also can't ping the VIP or any of the self-IPs from your laptop either. Is there a router between you and the external interface?