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

Okay, so to recap:

vmnet1 is your management interface on the 10.128.1.0/24 network. Your management IP should be something in this address space

vmnet2 is (probably) your external 1.1 interface on the 192.168.1.0/24 network. Your external virtual server IPs need to be in this address space and you should be able to ping these addresses from your laptop.

vmnet3 is (probably) your internal 1.2 interface on the 172.16.0.0/16 network. Your internal backend servers should be in this address space, the servers should be able to ping the BIG-IP self-ip, and the BIG-IP should be able to ping the servers.

VMware Workstation has an odd tendency to swap interfaces sometimes. The fist vmnet is always the management interface, but you may need to swap interfaces between the internal and external VLANs until you get a good ping from your laptop to the external VLAN's self-ip.