Salmon:
Pat the salmon dry with a paper towel; season lightly with salt and pepper.
In a large frying pan over medium-high heat, warm 1 to 2 tablespoons oil until hot but not smoking. Add the salmon, skin side down, and cook until the skin is browned and crisp, 3 to 5 minutes. Turn and cook until the flesh is starting to turn opaque but not yet cooked through, 1 to 2 minutes.
Shrimp:
Rinse and drain the shrimp. Pat dry on a paper-towel-lined plate. Season lightly with salt and pepper.
In a large frying pan over medium-high heat, warm 1 to 2 tablespoons oil until hot but not smoking. Add the shrimp and cook, turning once, until starting to turn firm but not yet cooked through, about 1 minute per side.
Transfer the seafood to a plate and cover to keep warm. Do not clean the pan.
While the seafood is cooking, prepare the remaining ingredients.