1965 dimes don't have a P mint mark for 2 reasons. First, Philadelphia didn't use the P mint mark on dimes until 1980. Second, during the coin shortages of 1965-67, the Mint suspended the use of all mint marks including D and S.
That means you have an ordinary dime worth face value only.
The coin is only face value. No U.S. coin dated 1965,1966 or 1967 will have a mintmark.
A circulated Seated Liberty dime without an "S" mintmark dated 1889 has retail values of $10.00-$80.00 depending on the condition of the coin.
The 1965 dime is a Roosevelt dime. This dime does not carry a mint mark and there were 1,652, 140,000 of them minted in the U.S. They have a value of between 10 cents and 2 dollars.
A 1965 sms dime has an average retail value of $2.00.
It isn't a "JS" (and JS isn't the mintmark, the mintmark, if any would be found on the reverse) dime. It is a Roosevelt Dime, the JS are the designer's initials. It is silver, however, and worth around $2.15 in silver content.
Currently about $4 melt value. The value will rise depending on the date, condition, and mintmark. Silver dimes were made until 1965.
The coin is only face value. No U.S. coin dated 1965,1966 or 1967 will have a mintmark.
A circulated Seated Liberty dime without an "S" mintmark dated 1889 has retail values of $10.00-$80.00 depending on the condition of the coin.
The 1965 dime is a Roosevelt dime. This dime does not carry a mint mark and there were 1,652, 140,000 of them minted in the U.S. They have a value of between 10 cents and 2 dollars.
A 1965 sms dime has an average retail value of $2.00.
It isn't a "JS" (and JS isn't the mintmark, the mintmark, if any would be found on the reverse) dime. It is a Roosevelt Dime, the JS are the designer's initials. It is silver, however, and worth around $2.15 in silver content.
A Mercury Head dime date 1926 with no mintmark has a retail value of $2.50 to $6.00 for a coin in average circulated condition.
The mintmark can only be a "D" for a 1960 dime. Regardless it's so common the value is $2.00 just for the silver.
A circulated Seated Liberty dime without an "S" mintmark dated 1889 has retail values of $10.00-$80.00 depending on the condition of the coin.
The was coin made at the Philadelphia Mint that is why it has no mintmark, 1980 was the first year that US dimes had "P" mintmarks. This coin is still in circulation and is face value.
A 1970 Uncirculated Mint set would not have a dime with a "S" mintmark, only a Proof set will have a dime with a "S" mintmark for that year, so no your mint set is not rare.
Face value: 10 cents.