iRule URI matching issue

Please try the following iRule, using a switch statement can avoid a lot of repetition (it is also faster than using if). As suggested above a policy may be an alternative. I have added logging to try to determine which conditions are being matched, please test and share the logging outputs, masking any sensitive information if necessary

when HTTP_REQUEST {
    switch [string tolower [HTTP::path]] {
        "/lmsserver" -
        "/oauth" -
        "/dtpcms" {
            pool PLMS_Pool
            log local0. "Path is [HTTP::path] selecting pool PLMS_Pool"
        }
        "/lms/sso" -
        "/lms/rest/ext/oauth2/token" {
            pool PLMS_Pool
            HTTP::path "/lmsserver"
            log local0. "setting Path to [HTTP::path] selecting pool PLMS_Pool"
        }
        "/httppush" {
            pool Push_Pool
            log local0. "Path is [HTTP::path] selecting pool Push_Pool"
        }
        "/admin" -
        "/lms" {
            pool PTEACH_Pool
            log local0. "Path is [HTTP::path] selecting pool PTEACH_Pool"
        }
        "/rsp" -
        "/dwh" {
          pool PTDWH_Pool  
          log local0. "Path is [HTTP::path] selecting pool PTDWH_Pool"
        }
        "/" {
            HTTP::redirect "http://[HTTP::host]/lms"
            pool PTEACH_Pool
            log local0. "Path is [HTTP::path] selecting pool PTEACH_Pool and sending redirect to http://[HTTP::host]/lms"
        }
    }
}