redirects with get / post

Not to throw the conversation into a tangent, but are you certain that the iRule works with GET requests? You're using a glob switch but no glob patterns, so not sure where the matches are being made. Here's a slightly modified version of your iRule:

when HTTP_REQUEST { 
    if { ( [string tolower [HTTP::host]]) contains "unity.mysite.com" } { 
        switch -glob [string tolower [HTTP::uri]] { 
            "*akcelrons.asmx*" { 
                HTTP::redirect "https://webservice.mysite.com/Unity/akcelrons.asmx" 
            } 
            "*credispher.asmx*" { 
                HTTP::redirect "http://webservice.mysite.com/Unity/credispher.asmx.asmx" 
            } 
            "*interfaceser.asmx*" { 
                HTTP::redirect "https://webservice.mysite.com/Unity/interfaceser.asmx" 
            } 
            "*meridian.asmx*" { 
                HTTP::redirect "https://webservice.mysite.com/Unity[HTTP::uri]" 
            } 
            "*unitysale.asmx*" { 
                HTTP::redirect "https://webservice.mysite.com/Unity/unitysale.asmx" 
            } 
            "*unitywep.asmx*" { 
                HTTP::redirect "https://webservice.mysite.com/Unity/unitysale.asmx" 
            } 
            "*weblott.asmx*" { 
                HTTP::redirect "https://webservice.mysite.com/Unity/Unityweblott.asmx" 
            } 
        } 
    } 
}