Crush the graham crackers into fine crumbs. In a medium bowl, stir together the graham cracker crumbs, 1 tablespoon sugar, and melted butter until mixture resembles wet sand.
Press about 1 to 2 tablespoons of crust mixture firmly into the bottom of each mini cheesecake cup or muffin liner. Refrigerate while preparing the filling.
In a large bowl, beat softened cream cheese with an electric mixer until smooth and creamy, about 2 minutes.
Gradually add 2/3 cup granulated sugar, continue beating until combined.
Mix in sour cream and lemon juice, blending well.
In a separate bowl, whip heavy cream until stiff peaks form.
Gently fold whipped cream into cream cheese mixture, being careful not to deflate it.
Spoon or pipe filling over chilled crusts, filling cups nearly to the top. Smooth the surface.
Cover pan tightly with plastic wrap.
Chill in refrigerator for at least 4 hours or overnight to set.
Just before serving, spoon a generous amount of cherry topping over each mini cheesecake.