Airport Express won't reset....

If the AirPort Express is not defective and you perform a factory default reset on the device........the amber light will blink rapidly for 5-6 seconds until you release the reset button. Then, it will be solid amber for 15-20 seconds or so, then turn to slow blinking amber about once a second.

If the light stays solid amber, the AirPort Express cannot get out of startup mode because there is a problem with the electronics of the device, likely the power supply.

Not sure how old the Express might be, but if it is 4-5 years old, that is about the average useful life of the product.

I doubt that it will help, but you could try a Hard Reset a few times as a last resort.

Power up the Express and let it run a minute or two

Hold in the reset button for 7-8 seconds and release

Allow a minute for the AirPort Express to restart to a slow, blinking amber light status about once a second

Solid amber is sign of a dead board. It is refusing to boot but does have power.

Holding in reset allow the boot loader only to run which is minimal and should work.. but during a full boot it tests various items on the board and if something major fails then it simply stops booting.. hence solid.

How old and what model??

I am in awe if you got 7+ years of use from the AirPort Express. I never got more than 4-5 from any of my devices.

AirPorts are still available as new, re-furbished or used products from sites like eBay.com if you want to stay with an Apple product.

Unless you need AirPlay, I would go with an AirPort Extreme since it is a far superior product to an AirPort Express in terms of speed and WiFi signal power. Would be great if you can use Ethernet or powerline rather than rely on a much slower Wi-Fi connection between AirPorts.

For example, you will always lose at least half of the potential speed on the network when you try to extend it using only a wireless connection.