Since you report the Ethernet LEDs blink I think that you are correct about your board not being DOA. I suggest you start by flashing a Linux img, checking the pine's ip address on your router, and ssh'ing into it. If this works, then the issue is pretty much narrowed down to the pine->screen connection.
If you are on Windows just use the win32imager. Here is a selection of different Linux images - grab the debian or ubuntu.
Report back after you have successfully ssh into the pine so we can confirm its a video issue.
Side note: Theoretically your OnePlus charger could be a problem if it is a 'smart charger'.
[edit] here is a walkthough of flashing and booting up if you feel you need it: http://forum.pine64.org/showthread.php?tid=622
If you are on Windows just use the win32imager. Here is a selection of different Linux images - grab the debian or ubuntu.
Report back after you have successfully ssh into the pine so we can confirm its a video issue.
Side note: Theoretically your OnePlus charger could be a problem if it is a 'smart charger'.
[edit] here is a walkthough of flashing and booting up if you feel you need it: http://forum.pine64.org/showthread.php?tid=622