Bring a medium pot of salted water to a boil.
Pat the steak dry with paper towels and season all sides liberally with kosher salt and black pepper.
Heat oil in a heavy skillet over medium-high heat. Once shimmering, sear the steak for 3 to 4 minutes per side for medium-rare. Remove the steak from the skillet and let it rest on a warm plate for 5 minutes.
Add the tortellini to the boiling water and cook according to package instructions (typically 3-5 minutes for fresh, 10-12 for dried).
Two minutes before the tortellini is finished, add the garden peas to the same boiling water.
Drain the tortellini and peas, then return them to the pot. Add 2 tablespoons of butter and toss until melted and evenly coated. Season with salt and pepper.
In a small non-stick skillet, melt the remaining 1 tablespoon of butter over medium heat. Crack the eggs into the pan and cook until the whites are set but yolks remain runny (sunny-side up).
Slice the rested steak against the grain. Plate the steak alongside the buttered tortellini and peas, and place the fried eggs on top of the steak.