1882-P: Can This Be VAM-34?

There is one very clear marker on my coin which shows two separated leaves on the reverse wreath:


Also, I can see the die polishing lines within the ear. The date, however, still has me wondering. I cannot see much doubling except underneath the "1", but it is very faint and appears to align with the end of the bottom serif instead of beginning slightly to the left, as it is shown in the detail images on VAMWorld. Tere is also some doubling inside of the two "8"s, but nothing on the "2":


Here are the full obverse and reverse of the coin:



As always, any help is greatly appreciated!