No hope for setting up the AirPort Express while it connected to your Mac using Ethernet. See the connection between the AirPort Express and Mac in your screenshot? There is a solid line there, which represents a wired connection. So, the Express is set up that way......assuming it will use a wired connection to the network.
There would be hope if the screenshot displayed a dotted line between the Extreme and Express, because the dotted line represents a wireless connection, which is how the Express will connect to your network.
Power off the AirPort Extreme, wait a minute, then power it back up.
Move the Express to the same room or close proximity to the AirPort Extreme
Power up the Express and let it run a minute
Hold in the reset button on the Express for 7-8 seconds and release
Allow a minute for the Express to restart to a slow, blinking amber light status
Do not connect an Ethernet cable to the Express
On the iPhone or iPad.......
Go to the Home Screen
Tap on Settings
Tap on WiFi
Look for a listing of Set Up New AirPort Base Station
Tap on AirPort Express just below that listing
Follow the prompts

If you try this a few times with no luck, the 8+ year old AirPort Express is defective, at least the way that you want to use it on your network to connect to the AirPort Extreme using wireless.
If the setup "sticks", move the Express to a point that is about half way between the AirPort Extreme and the general area where you need more WiFi signal coverage. The more that you have line of sight between the AirPort Extreme and AirPort Express, the better the network will operate as far as speed is concerned.