Please clarify your situation. This does not sound like a program activation matter, more like the first time one time activation of a program feature such as MPEG2 Encoder Activation. You may not have privileges to do this.
Are you a student working on a Premiere Elements 13/13.1 project on a school network? If so, have you discussed the matter of the administrative privileges with the person in charge of computer setup at the school? Program activation and running as administrator are important aspects of the matter which may be out of your control if you are a student in a school network.
The Adobe Chat line given you may or may not be able to help you. But you could try.
Please let us know the outcome.