What you have attached is your Macs TCP/IP settings.
If you look there you can see that you are using DHCP to get an IP address from your wifi router.
What you need to then do is log into your router and set the DHCP reservation for your devices to make sure that they use the same IPs every time they log in.
Here is the basic instruction of how to do this.
- Head to your router's configuration tool by typing in your router's IP address in your browser's navigation bar. Usually this is something like 192.168.0.1. You can check it by running ipconfig in a Command Prompt, or heading to System Preferences > Network on a Mac.
- Find the DHCP reservation setting. This could also be called "DHCP Static Lease" or something similar. On my router, it was under the "Gateway" category.
- Head to the computer for which you want to reserve an IP address and find its MAC address. Once again, you can find this by typing ipconfig into a Windows Command Prompt, or by going to System Preferences > Network on a Mac, clicking on your Wi-Fi card or Ethernet port, hitting Advanced, and going to the Ethernet tab. Your MAC address will be in the form 00:00:00:00:00:00. Note that a Wi-Fi card and Ethernet port will have two different MAC addresses, and you can't assign them both to the same IP, so pick the one you use primarily.
- Type that computer's MAC address into the first entry in the DHCP Reservation setting. Then, type in the IP address that you want to reserve for that machine. Hit Apply, or whatever button is available to you.
- Repeat with any other computers that you want to reserve
Once reserved go to this page in your Plex settings and reserve those IPs

Save and Reboot the server and Mac and you should be good to go.
Give that a try