help on an irule

Your rule:

when HTTP_REQUEST { 
    if { [HTTP::uri] starts_with "/EBanking2/admin" } { 
        if { not ([IP::client_addr] equals "208.222.129.101") } { 
            HTTP::redirect "http://www.coop.com.cy"
            log local0. "IP: [IP::client_addr] tried to access /EBanking2/admin from the Internet." 
        } 
    } 
}

So I assume you want to redirect when the client source address is neither 208.222.129.101 nor the other address. If so (and using 203.0.113.1 as the other IP for this example):

when HTTP_REQUEST { 
    if { [HTTP::uri] starts_with "/EBanking2/admin" } { 
        if { not ([IP::client_addr] equals "208.222.129.101" or [IP::client_addr] equals "203.0.113.1") } { 
            HTTP::redirect "http://www.coop.com.cy"
            log local0. "IP: [IP::client_addr] tried to access /EBanking2/admin from the Internet." 
        } 
    } 
}

An alternative would be to use a data-group. So, you would define a data-group like this:

create ltm data-group internal non-redirect-ips type ip records add { 208.222.129.101 {} 203.0.113.1 {} }

Then change the iRule thusly:

when HTTP_REQUEST {
    if { [HTTP::uri] starts_with "/EBanking2/admin" and ![class match [IP::client_addr] equals non-redirect-ips]} {
        HTTP::redirect "http://www.coop.com.cy"
        log local0. "IP: [IP::client_addr] tried to access /EBanking2/admin from the Internet."
    }
}

The advantage is that you can add, change or delete IP addresses that are exempted without changing the iRule itself. You need only alter the data-group, which can be done via tmsh or the WebUI.