Prepare rice according to directions listed on the package.
In the meantime, melt 3 tablespoons butter in a soup pot.
Add onion and pinch of salt; continue to cook over medium heat for 2 to 3 minutes, or until tender.
Stir in garlic and continue to cook for 30 seconds.
Stir in frozen carrots and peas and cook for 2 minutes.
Add vegetable broth; increase heat to medium-high, add crab meat and rice, and bring mixture to a boil.
Lower heat to a simmer and continue to cook for about 5 minutes.
In the meantime, melt 4 tablespoons butter in a saucepan; add flour and whisk continually for 1 minute.
Continue to whisk and add the milk; continue to cook, stirring constantly until it thickens.
Add the milk mixture to the soup and cook about 5 minutes longer, or until soup is thickened.
Stir in heavy cream.
Garnish with chopped parsley.
Serve.