we would need to see your config and know your software version as well as some information about amount of connections affected.
To answer your other questions, you can use sticky-srcip, no need for cookie, to achieve stickyness.
However, there is the mega-proxy issue, where hundreds of clients use the same source ip, so they would all go to the same server.
The solution is cookie, as the cookie would be per client even if they use the same source ip.
To use cookie, the traffic needs to be decrypted on the CSS because we need to read the HTTP data to see the cookie.
To decrypt the trafficm you need an ssl module.
Only available on 11500.
Regards,
Gilles.