Connection Reset When Redirecting From HTTPS to HTTP

Ultimately I think you should do a client side capture with a tool like Fiddler or HTTPWatch. If you're certain that a direct request to http://www.xyz.com/test works, then try it through the HTTPS VIP with the capture. Do you actually see a 302 redirect to http://www.xyz.com/test?

You can also simplify your iRule:

when HTTP_REQUEST {
    if { [string tolower [HTTP::uri]] starts_with "/test" } {
        HTTP::redirect "http://[HTTP::host][HTTP::uri]"
    }
}