HP 1320 via DLink-311P not working !

[SYNass IT Ubuntu / Linux]

Hi Ubuntu Experts & Users
The hint in the recent answer to a HP-Printer problem was:

> If that doesn't do it please run hp-check and post the output.

As a newbie: How do I ???

The problem:
2 printers, a Canon BJc-6100 & a HP 1320 have a DLink DP-311P 
unit to be reached wireless !

Where the Canon BJc-6100 works perfectly incl. auto switch ON/OFF ...
... the HP 1320 does not show a single reaction ;-(

Ping to the HP's DP-311P is OK ;-)

How and what can I do to get the HP 1320 running too ???
Or is it impossible ??
Tricks ?

Your assistance and suggesions are very appreciated !
Cheers, svobi