Help with capturing the traffic between a virtual server and its pool members

There are several possibilities.

With tcpdump : tcpdump -nni 0.0:nnn -s0 host 10.30.30.10 or 10.30.30.11 or 10.30.30.12

This command will log all exchanges between F5 and servers (source or destination). You can add the client ip address if you want to see the requests and responses on the client side.

To write the trace on file : -w file.pcap

Regarding the load balancing method, you can use Statistics in GUI. Go to Statistics > Local Traffic > Pool. You will be able to see the traffic load in the pool.