For the fettuccine: Add the flour and a big pinch of salt to a food processor; pulse to combine. Whisk the eggs and egg yolk in a bowl. With the machine running, drizzle in the egg mixture until the dough is just about cohesive. Transfer the dough to a lightly floured board and knead until smooth, about 5 minutes. Wrap in plastic wrap and refrigerate for at least 30 minutes and up to 24 hours.
Set up an electric or hand-cranked pasta machine with the rolling attachment set to the widest setting. Cut the dough into quarters. Dust 1 piece lightly with flour and press or pound it into a thick, flat oval. Pass it through the roller 2 or 3 times. Fold it in thirds, like a letter, and roll it through again, flouring if necessary. Turn the roller to the next setting, and repeat the rolling and folding. After that, simply run the dough through on increasingly thinner settings until you reach the second thinnest setting, flouring as needed. If the piece of dough gets too long to work with comfortably, cut it in half. The final piece should be about 12 inches long. Cover the dough with plastic wrap or a clean towel, and repeat with the remaining dough.
Line a baking sheet with parchment paper. Using the pasta machine's fettuccine cutting attachment, cut a sheet of pasta. Swirl the noodles into a nest on the baking sheet. Repeat with the remaining sheets of dough.
For the spicy lobster sauce: Prepare an ice bath large enough to hold the lobster. Bring a large pot of salted water to a boil. Kill the lobster by plunging a knife between the lobster's eyes and cutting down through the head. Put the lobster in the boiling water and cook until three-quarters done, about 8 minutes for a 2-pound lobster, and up to 12 minutes for a 3-pound lobster. Using tongs, transfer the lobster to the ice bath. Reserve at least 2 cups of the lobster cooking water. When cool enough to handle, shell the lobster and cut the meat into big chunks. Set aside.
Heat the canola oil in a large high-sided saute pan over high heat. Add the onions and cook until soft, about 4 minutes. Add the garlic and chile flakes; cook for 1 minute. Add the wine and a cup of the lobster cooking water; cook until reduced by half. Add the tomatoes and bring to boil. Reduce the heat and simmer, stirring occasionally, until the tomatoes are soft and the liquid is reduced, about 20 minutes. Mash the tomatoes using a potato masher. Continue cooking until the mixture thickens to a sauce consistency, about 15 minutes. Stir in the parsley, oregano and lemon zest. Taste and season with salt and pepper.
For the anchovy breadcrumbs: While the sauce cooks, heat the olive oil in nonstick saute pan over medium heat until it shimmers. Add the garlic and anchovies; cook for 1 minute. Add the breadcrumbs and cook, stirring constantly, until golden brown, about 3 minutes. Fold in the parsley and lemon zest, and season with salt and pepper.
To cook the pasta: Bring a large pot of salted water to a boil over high heat. Add the pasta and cook until al dente, about 2 minutes. Drain.
To finish the dish: While the pasta cooks, stir the lobster into the sauce and cook for 2 to 3 minutes. Add the pasta to the sauce and toss, adding some more of the lobster cooking water to flavor and thin the sauce slightly if desired. Transfer to a large shallow bowl, top with the breadcrumbs. Serve immediately.