Preheat oven to 400°F.
In a medium mixing bowl, add eggs, mayonnaise, mustard, 3/4 teaspoon Old Bay Seasoning, tarragon, onion and celery. Whisk until well combined to make a dressing. Place bread cubes into a large mixing bowl.
Add 1/2 of the prepared dressing. Toss, mixing until the dressing is absorbed by the bread and the cubes are slightly broken up. Add additional dressing if the cubes are too dry.
Gently mix the crab into the bread mixture, being careful not to break up the lump pieces. The mixture should hold its shape when formed into a ball with your hand. If it is too dry, add additional dressing until the mixture comes together (You might not use all of the dressing).
Divide prepared mixture into 8 equal parts (divide in 1/2, divide each of those in 1/2 and divide each of those into 1/2). Pat and shape each to form into 8 crab cakes.
Place cakes on a greased cookie sheet or sheet pan.
In a small bowl, add butter and remaining 1/2 teaspoon Old Bay Seasoning.
Top each cake with a small dollop of the seasoned butter.
Place cakes in preheated oven. Bake until golden brown, about 10 to 12 minutes.
Remove from oven and serve warm.