It’s a very good chance that the “PC-02” is just EM which is what the xEM can emulate, but your leather tag is “PC-01” and it’s something else… maybe indala? maybe something else. You may have an easier time just trying to add your xEM to the system without attempting a clone.
The diag card works well with many readers but some have antenna designs that do not allow enough power to light the LED on the card. You might try the xLED-LF which is a 125khz tuned LED diag tool that is meant to tell you not frequency, but if the antenna of the reader will work will with the glass cylinder shape of our x-series tags.