Hi there,
sorry that you are having troubles with one of the boards. From your description, it would seem that the board is probably OK but it may need to be reflashed. Do you have an SD card and an SD card reader at hand? If you do, you can follow the instructions here to download the image and flash the SD card. Otherwise, we can send you a pre-flashed SD card if you prefer but that wouldn't ship before Wednesday next week and I am not sure what the transit times are like right now.
If inserting a newly flashed SD card the LEDs behave the same, use Option 3 here to force it to boot from the SD card: https://learn.bela.io/using-bela/about-bela/troubleshooting-guide/#problems-booting-bela-from-the-sd-card .
If everything works fine, you can then follow the instructions at the bottom of the first page to use the SD card to flash the eMMC (the internal storage of the beaglebone), so you can go back to using it without SD card.
Let me know if you have any problems.
PS: could you email us your order number at orders@bela.io , for our records?