I would try that, yes. There has to be an SPN in Active Directory for your sitename and the user account the process runs under for the HTTP protocol for Windows Integrated Auth to do Kerberos successfully. There's a bit more information hrere:
http://msdn.microsoft.com/en-us/library/cc281253.aspx
Specifically, check the section on "Resolving Kerberos Authentication Errors" near the bottom. You'll end up running:
setspn.exe -a http/f5srs.hostname.com domain\account-srs-runs-under
Do not specify "port" in the setspn command; IE 8 hates that lots.