Cookie persistence + iRule

My server provides to any request cookie named lbhint with value=servername, and i want to configure persistence based on this cookie on LB across 2 VS (same IP, one on port 80 and one on port 443 leading to the same servers). And its not working.

Config: http VS 1.1.1.1:80 --> HTTP_POOL:server1:80/server2:80 https VS 1.1.1.1:443 --> HTTPS_POOL:server1:443/server2:443

Example of what i need: First request: http://www.mysite.com it goes to http VS (lets assume LB redirected it to server1), now if i press "login button" it redirects me to: https://www.mysite.com so the request goes to https VS and at this stage i loose my persistent, instead of working with the sserver1 it goes to the server2.

And besides this i have irule (the last HTTPS_POOL is the pool im talking about): And i have 2 irules like this, one for HTTP and the other for HTTPS.

when HTTP_REQUEST {
   log local0.alert got request for [HTTP::uri];
   if {[string tolower [HTTP::uri]] starts_with /LpSys/} {
      Some_POOL
      persist none
      log local0.alert sending to LpSys pool
  } else {
      if {[string tolower [HTTP::uri]] starts_with /info/} {
          pool Some_POOL2
          persist cookie insert lbhint 0
          log local0.alert sending to info pool

      } else {
          if {[string tolower [HTTP::uri]] starts_with /mobile/} {
          pool SOME_POOL_3
          log local0.alert "sending to mobile pool

         } else {
          pool HTTPS_POOL
          persist cookie insert lbhint 0
       }

    }
}
}