I can at least provide a bit more information. The problem is with your Plex Tuner Service that listens on port 32600. You can look at the Plex Tuner Service log files yourself, but what is happening is that it starts (the tuner service log beginning at 16:09:07.884), begins listening on port 32600, appears to communicate with your tuner, and then almost immediately exits. It then tries to start again (logs at 16:09:42.968 and 16:09:43.147) but those attempts don’t even get as far as listening on port 32600.
The “Unable to lock named mutex F8EEB26D-AB23-4061-8250-130AB5285A4A: 0x80” appears to be the problem. I don’t have a suggested fix right now, but will look around. Since its is windows have you tried a full reboot? Disk checks? Anything other than Plex that is accessing your tuner?
Edit: There are a couple threads here and here regarding people having trouble with Live TV & DVR on Windows with the latest Plex server version. No one is posting logs so I can’t tell if they are the same issue. Perhaps review and see if you are having the same behavior. If so then some people are having luck by rolling back to a 1.19 Plex Server version.
Sep 23, 2020 16:09:24.337 [8136] INFO - [I] dvb_device_factory_t::get_device_list. Id dvb#bda#0#@device:pnp:\\?\pci#ven_1131&dev_7164&subsys_89400070&rev_81#4&1b0d22a2&0&00e5#{71985f48-1ca1-11d3-9cc8-00c04f7971e0}\{dbadd217-e935-4148-bab7-4cc346d15301}, Name Hauppauge WinTV-7164 BDA DVBT Tuner, Standards 1
Sep 23, 2020 16:09:24.337 [8136] INFO - [I] device_manager_t::get_device_list. Device Hauppauge WinTV-7164 BDA DVBT Tuner, id dvb#bda#0#@device:pnp:\\?\pci#ven_1131&dev_7164&subsys_89400070&rev_81#4&1b0d22a2&0&00e5#{71985f48-1ca1-11d3-9cc8-00c04f7971e0}\{dbadd217-e935-4148-bab7-4cc346d15300}, tuners 1, state 0, standards 1
Sep 23, 2020 16:09:24.337 [8136] INFO - [I] device_manager_t::get_device_list. Device Hauppauge WinTV-7164 BDA DVBT Tuner, id dvb#bda#0#@device:pnp:\\?\pci#ven_1131&dev_7164&subsys_89400070&rev_81#4&1b0d22a2&0&00e5#{71985f48-1ca1-11d3-9cc8-00c04f7971e0}\{dbadd217-e935-4148-bab7-4cc346d15301}, tuners 1, state 0, standards 1
Sep 23, 2020 16:09:42.801 [2496] DEBUG - Unable to lock named mutex F8EEB26D-AB23-4061-8250-130AB5285A4A: 0x80
Sep 23, 2020 16:09:42.801 [2496] INFO - [I] device_manager_t::term
Sep 23, 2020 16:09:42.801 [2496] INFO - [I] device_manager_t::term. Stop all devices
Sep 23, 2020 16:09:42.801 [2496] INFO - [I] device_manager_t::term. Shut down all device auxes
Sep 23, 2020 16:09:42.801 [2496] INFO - [I] bda_aux_t::term
Sep 23, 2020 16:09:42.803 [2496] INFO - [I] web_server_t::stop. Web server is stopped
Sep 23, 2020 16:09:42.803 [2496] INFO - [I] device_manager_t::term
Sep 23, 2020 16:09:42.803 [2496] INFO - [I] device_manager_t::term. Stop all devices
Sep 23, 2020 16:09:42.803 [2496] INFO - [I] device_manager_t::term. Shut down all device auxes
Sep 23, 2020 16:09:42.803 [2496] INFO - [I] broker_t::shutdown. Shutdown is completed.