Preheat the oven to 350°. Line cupcake pans with paper liners.
Sift flour, salt and baking soda into a medium bowl. Set aside. In the bowl of an electric mixer, cream butter and sugar until light and fluffy. Add eggs one at a time until combined. Add buttermilk, oil and vanilla and beat until combined. Add flour mixture and stir until just combined. Fold in chopped strawberries. Fill cupcake wells ¾ full with batter. Bake for 20 minutes or until a toothpick inserted in the center comes out clean. Cool completely on a wire rack.
For the frosting, puree strawberries in food processor. Strain through a mesh sieve to remove seeds, and set aside. Beat the cream cheese and butter in the bowl of an electric mixer until smooth and fluffy, about 5 minutes. Add powdered sugar and mix until smooth. Add lemon juice, vanilla and strawberry puree. Adjust the amount of puree to achieve your desired consistency. Frost cupcakes when completely cool.