There are no extremely rare dates, but the three most valuable are 1921, 1928 (no mint mark) and high-quality 1934-S coins.
Please see the Related Questions for specific values.
For Morgan dollars, Carson-City mintmarked coins are common, but some dates are considered scarce and some are rare in the higher grades. But no, not all CC Morgens are rare.
1935 is not a rare date for Peace dollars. As of 06/2009 it's worth $15-18 in circulated condition.
The Related Link below has a list of dates, mint marks, and mintage totals.
The value of Peace dollars depends on factors such as condition, mint mark, and rarity. In circulated condition, a common date Peace dollar can be worth around its silver content, while rare dates or those in high grade can be worth hundreds or even thousands of dollars. It's best to consult a coin dealer or reference guide for an accurate valuation.
United States silver Peace Dollars were minted from 1921 through 1935.
The only 1928 Peace dollars that are valuable are those made at the Philadelphia mint. These will not have a mintmark. If there is a small S below the word ONE on the back(tails side) of the coin it isn't of the rare variety. if that spot is blank you have a rare coin. You should take it to an expert and have it evaluated.
The 1922 Peace dollar is not scarce or rare, it's actually the most common of all Peace dollars. Assuming it's circulated and has no mintmark, average retail values are $22.00-$28.00.
For the Peace dollar series 1935 is not a rare coin. The only rare Peace dollar is the 1922 high relief matte proof coins.
Both dates are very common Peace dollars. Circulated coins are each valued at $32.00-$40.00 depending on the grade of the coins.
The 1881 "Peace Dollar" does not exist. Peace Dollars were minted starting in 1921. Prior to that the Morgan dollars were minted from 1878 up to and including 1921 (Yes both Peace and Morgan dollars were minted in 1921.
Yes it is extremely rare to find sand dollars on the jersey shore.
Peace dollars were not made in 1833.