Just to clarify, you are running X-Plane and SimVimPanel on 2 different computers, right?
Generally, SimVimPanel should automatically connect to SimVimCockpit and work as-is.
If it doesn't, try these things one-by-one, and see the connection works after each of them:
1. When both X-Plane and SimVimPanel with a loaded module (you see the gauges displayed on screen) are running, select "Hardware Reconnect" in the plugin's menu in X-Plane.
The connection "SimVimPanel" should appear in the "Status" window after that.
If not, follow next steps:
2. Make sure the 2 computers are on the same sub-network (their IPs have the same first 3 numbers). Make sure that you can transfer files by network between these computers, and that Firewall on either of them is not blocking communication for X-Plane or SimVimPanel.
3. Look into the plugin's Status window. Make sure the detected IP address shown there is correct for this computer. If it's incorrect, edit the plugin's "config.ini" file with "IP_ADDRESS = (your actual IP address)".
4. On the computer with SimVimPanel, open the panel's "settings.ini" file and add the line "DEBUG = 1". Run SimVimPanel and X-Plane. Then, see the "debug.txt" file in SimVimPanel's folder. It should contain information on what was happening.
Make sure the detected IP listed in this file is correct (and is not 127.0.0.1). If it's not correct, edit SimVimPanel's "settings.ini" file and add the following:
My_IP = (SimVimPanel computer's IP)
XPlane_IP = (X-Plane computer's IP)