Installed outlet for Tesla charger but get only 8 amps out and the breaker is 50 amps
only 8 amps come out, and the Tesla charges one-third as fast.

The electrical circuits in your home can't restrict the amount of current they deliver, other than to shut off completely if you exceed the threshold for the breaker by a certain amount over a certain amount of time. If you are getting any current at all, the only thing that could be limiting that current is whatever you have plugged into it.
In the case of electric vehicle supply equipment (EVSE), this would be either the charging station itself, or the settings in the vehicle. You appear to have the Tesla &quot;Mobile&quot; EVSE, which when attached to a 240V supply should provide much more than 8A of charging. However, it is compatible with both 240V and 120V, and the 8A is consistent with it being plugged into a 120V/15A supply; their documentation says it will charge at 3 miles/hour, which works out to about 1 kWh, which at 120V is about 8A.
Your photos don't show what kind of outlet you have, nor do you indicate where in the world you are located. But if, as the 50A (or 60A?) breaker suggests, the circuit is supposed to be supplying 240V, the first thing to check would be to make sure there is in fact 240V at the outlet; if not, then it has been wired incorrectly. You indicated in the comments that the car is telling you it's connected to a 240V supply, which I would think would be authoritative. But there's no harm in double-checking.
Of course, the other thing to check is the car's charging settings themselves. Many Tesla's include a &quot;geo-fenced&quot; configuration for charging, meaning you may get different charging rate settings in different locations (based on GPS). It's possible that in your new location, you haven't adjusted the maximum charging rate. Or maybe it just got set lower for some reason at some point.
Finally, keep in mind that the charging rate slows considerably when the battery is nearly empty or nearly full. You won't see the fastest charging rates under those conditions. Rates are also limited depending on battery temperature, but a) the Tesla actively manages battery temperature to minimize this effect, and b) from the photos it looks like you are probably charging in an enclosed area, so I wouldn't expect temperature to be a major concern.
I think it's highly unlikely that there's anything wrong with the EVSE or the car's charging components themselves. But if you've gone through and ruled out all of the possibilities above, it could be time to contact Tesla for support. It would be easy enough for you to take the EVSE to your local service center and have them verify it operates correctly, as well as have them check the car itself.