No. Only the headphones are coming.
Note by the way: almost all notebooks and now many desktop PCs have Bluetooth integrated. Depending on your specific situation, you may not need an additional Bluetooth dongle.
It worked for me. In window 10 you can select the playback device. There are 2 H85 devices to choose from. "jabra H85 stereo" and "jabra H85 Hands-Free AG Audio". If I then select the second one, it works. It did not work for me with the "jabra H85 Stereo".
No, since the microphone is not hidden on the cable but in the shell and only a normal stereo cable is supplied, I assume that communication only takes place via Bluetooth. But I have not tested this. The battery life is so fantastic that I don't miss this feature so far (almost 2 days of continuous use, video conferencing, calls, hear through and ANC, and also listening to music and podcasts in super quality).
The only drawback is that if you receive a call on the second device (iPhone for me) during a video call on the PC (Win 10), you can answer it, but you can't automatically return to the video call afterwards. You have to switch the headset off and on again (but this takes max. 5 sec.). However, this is a rare case and only specific to Windows. Reconnecting on 2 devices really only takes 2-3 seconds. However, 3 devices can be stored. If you switch one off (Bluetooth off), you can connect to the other (my tablet). This means that my main device (iPhone) always remains connected.
I hope the information helped.