Armed Forces Day is a day to pay tribute to the men and women who serve the United States Armed Forces. The day is celebrated on the
third Saturday in May and is part of Armed Forces Week.

Although April Fools’ Day, also called All Fools’ Day, has been celebrated for several centuries by different cultures, its exact origins remain a mystery.

Some historians speculate that April Fools’ Day dates back to 1582, when
France switched from the Julian calendar to the Gregorian calendar, as
called for by the Council of Trent in 1563.

People who were slow to get the news or failed to recognize that the start
of the new year had moved to January 1 and continued to celebrate it during
the last week of March through April 1 became the butt of jokes and hoaxes.

These pranks included having paper fish placed on their backs and being
referred to as “poisson d’avril” (April fish), said to symbolize a young, easily
caught fish and a gullible person.

Presidents’ Day, officially Washington’s Birthday, in the United States,
holiday (third Monday in February) popularly recognized as honoring
George Washington and Abraham Lincoln. The day is sometimes
understood as a celebration of the birthdays and lives of all U.S.
presidents.

The origin of Presidents’ Day lies in the 1880s, when the birthday
of Washington—commander of the Continental Army during the
American Revolution and the first president of the United States
was first celebrated as a federal holiday.

In 1968 Congress passed the Uniform Monday Holiday Bill, which  
moved a number of federal holidays to Mondays. The change was
designed to  schedule certain holidays so that workers had a number
of long weekends throughout the year, but it has been opposed by
those who believe that those holidays should be celebrated on the
dates they actually commemorate.  (Encyclopedia Britannica)