How do luka and fayris send their d-mails??

The reason for this question is because:

To send a d-mail to a device, it must be connected to the "phone microwave".

So, For luka to be able to send a d-mail to her mom's pager, the pager must be connected to the phone microwave. how did they do that???

Also, for fayris to be able to send a d-mail to her dad's phone, his phone must be connected to the phone microwave. And I didn't see any part where his dad's phone has been taken into consideration.

Soooo... is this a mistake of the anime, or have I gotten something wrong...(or missed something)