Cook pasta in a large pot of boiling salted water, stirring occasionally, until desired doneness. Drain, reserving 1/2 cup pasta cooking liquid.
Finely chop anchovies and garlic. Using the back of a chef's knife, mash the mixture on a cutting board until you have a paste.
Combine paste with dill, lemon zest, parsley, basil, and half the olives and capers (not chopped) in a large bowl.
Chop remaining olives and capers and add to bowl, along with the olive oil. Mix well, season to taste with salt and pepper.
Add pasta and 1/4 cup reserved pasta liquid to sauce. Toss, adding Parmesan a bit at a time, along with more pasta liquid as needed until sauce coats pasta.
Add lemon juice, season with salt and pepper. Serve pasta topped with shrimp, sunflower seeds and more Parmesan.