Help Me! I Found A 64 Jefferson No Mint Mark With An Odd Edge,

To CCF! Are you able to get a clearer, more in focus picture of the area in question? I'm thinking it's PMD.

to CCF
Please try again with your images. place the coin on a flat steady surface then take a picture.

It is hard to see what is happening in that blurry image.

To the CCF

If you are referring to the bottom right of the rim and going by what you say
about a cracked die, then that would be damage.
A cracked die would not affect the rim as the rims are formed before
the coin is struck so the die would not touch it during the minting process.
Clearer photos will be necessary to confirm this.

Here's the back and better front

No worries! It takes time to get acclimated to the forums here. Take your time and we can work with you to 'get up to speed'

Now to your nickel and the very last image you posted. It looks like major damage to the rim. Looks like a low angle hit (or hits - possibly intentional)
Look on Jefferson's shoulder on hie coat - I can see more lighter scratches - each one seem to line up with one on the heaver gouges on the rim.

The side doesn't really show damage and it looks like there's more metal there than if I was to take a tool and try to do that, the two marks by the 64 look almost circular, like it would be hard to create, and again I'm new to the game this the reason I am on here looking for help .. I agree about the scratches and honestly if there was damage to the other side it would be unquestionably damage. Just the way that looks , just suspicious, and doing my research I've found one other Jefferson 64 with that area basically sheared off online.. looks to clean to be damage.. but again do not know much and just getting into the game... Just scored a Rickey $5 1953 silver cert for dirt cheap!

As for this nickel posted above.
There is no way that these marks were created while the coin was being struck. that would mean that the die was damaged, and if that is true, we would see lots more in circulation.
The light scratch es we see on the shoulder are on the highest part of the design. It is of my thoughts that IF every part of the shoulder were all that high, we would see the scratches at all of the locations of the rim.
Speaking of the rim - in that area the rim is basically missing (or cut into small sections. You see on the die itself, is recessed higher than the fields, creating a void all the way around the die - this is to finish creating the rim that was put there during the upsetting operation that creates what is called a 'proto' rim on the planchet. That proto rim is also missing on your nickel in that area.
Now that we established that there is metal missing that was the rim, where did it go? Well if we look on the fields of the coin and the area on the shoulder right next to the rim, we see metal piled up creating that curved or hooked look on the nickel. That is all damage, it was not created at the moment when the planchet was struck and turned into a coin.

did it happen while still in the Mint facility? Perhaps, but that won't make it an error or even a variety. It most likely was damaged while in circulation - that is something we will never know except for the fact that it is just a damaged coin