I can't really see much of the tiny details of your coins. I use http://coppercoins.com/ to check for varieties, but they do not have any doubled die reverses listed for 1983D cents.
As for Wide AM versus Close AM, they both should be Wide AM. The Close AM reverse wasn't used on circulation strike cents until 1993, although there were a few rare close AMs minted in 1992 that are worth a lot. I suspect it's camera angle or the lighting (maybe die stage?), but the coin on the right seems to have a smaller gap between the A and M than the coin on the left.
{I'm not sure if you're familiar with the term wide AM/close AM, but it refers to the reverse design, which was changed in 1993. Wide and close refer to the gap between A and M in AMERICA. Other telltale signs of the different reverses are the serifs on the G in the designer's initials FG to the bottom right of the memorial.)
As for Wide AM versus Close AM, they both should be Wide AM. The Close AM reverse wasn't used on circulation strike cents until 1993, although there were a few rare close AMs minted in 1992 that are worth a lot. I suspect it's camera angle or the lighting (maybe die stage?), but the coin on the right seems to have a smaller gap between the A and M than the coin on the left.
{I'm not sure if you're familiar with the term wide AM/close AM, but it refers to the reverse design, which was changed in 1993. Wide and close refer to the gap between A and M in AMERICA. Other telltale signs of the different reverses are the serifs on the G in the designer's initials FG to the bottom right of the memorial.)



















