The right input is selected, and to answer your question, I am forced to connect the 3.5 mm cable from time to time because my battery runs out. And to use the radio and the charging cable at the same time, the charging cable is simply too short.
Check that the correct audio output has been selected in the settings. Another question: What is the point of using the 3.5mm cable on the PC? Then you wouldn't have needed a wireless headset, especially since you can't use the mic with it.