To prepare crab cakes, combine first 9 ingredients in a large bowl, stirring with a whisk. Add 2 tablespoons tomato and crabmeat, tossing gently to coat. Stir in 5 tablespoons breadcrumbs. Cover and chill 30 minutes.
Preheat oven to 450°.
Fill a 1/4-cup measuring cup with crab mixture to form 1 patty. Remove from measuring cup; repeat procedure with remaining crab mixture to form 8 patties. Lightly dredge patties in 2 tablespoons breadcrumbs.
Melt 1 1/2 teaspoons butter in large ovenproof skillet over medium-high heat. Add patties; cook 4 minutes. Turn patties; wrap handle of pan with foil. Place pan in oven; bake at 450° for 5 minutes or until patties are golden brown and thoroughly heated.
To prepare ragout, bring 1/4 cup water to a boil in a medium saucepan. Add corn and peas; cook 2 minutes, stirring frequently. Remove from heat; stir in 1 1/2 cups tomato and remaining ingredients. Serve ragout with crab cakes.