Welcome to TMC,
Your posts apologizes for being a long post, but its actually quite short for needing help with your setup. In order for people to be able to help you, you would need to provide some more information, like:
Who installed your 14-50 outlet, and when was it installed?
What exact aftermarket charger did you buy off ebay? is it brand new or did you buy a used one?
Have you tried the charger that comes with the car? What is the result of that test?
Has it been used successfully with another brand ev in the past and if so, which one (what battery size, charging speed etc)
What breaker size is on your 14-50 in the electrical panel (how many amps is the breaker its connected to)?
Have you investigated the outlet for damage such as burn marks etc?
What charging speed is your tesla attempting to charge at when its connected (what amps does it display)
What volts display both when you start charging and after it settles in, on the screen?
Normally, these type problems are because something is wrong with the electrical setup, but you will need to provide quite a bit more information for anyone to be able to help you with it. We have some very knowledgable people around this topic here on TMC (I am not one of them, I just have base knowledge), but they will need more info to try to help you.