Hello!
The Wi-Fi and Bluetooth cards can be either Atheros OR Broadcom, but not both. Two different manufacturers.
Although this forum is Linux Lite-specific, I'll help you no matter what distro you have. Did you verify the checksum on the ISO you downloaded to check for download errors?
Elementary OS SHOULD have at LEAST detected your LAN card for you. Pull down the Linux Lite ISO, verify it, and give Linux Lite a try, and you SHOULD find that you can at LEAST pull updates over a LAN cable...
73 DE N4RPS
Rob