I plugged the portable charging mat in and also plugged the phone in but no blue light comes on and also no phone is charging.

On the end of the charge tube (the piece you plug your charge tip into) is an ON/OFF button. Press and release that button to see if your phone begins charging.  Be sure that you are using a good outlet and that all cords fit securely.  If you are still having difficulties please contact customer support http://www.charge4all.net/content/contact-customer-support, and include you phone model and charge tip that your are using.