Preheat oven to 300F.
In a large Dutch oven or heavy-bottomed pot, heat 2 tablespoons of olive oil over medium-high heat.
Pat the rabbit pieces dry with paper towels.
Sprinkle the rabbit with some kosher salt.
When oil is hot but before it is smoking, add the rabbit pieces and cook until lightly browned on both sides, or about 4 minutes per side.
Remove the browned rabbit pieces from the Dutch oven using metal tongs, and allow the rabbit pieces to cool on a plate at room temperature.
Lower the heat to medium-low, add the onions and garlic, and cook for about 10 minutes until the onions are softened and lightly golden.
Add the celery and carrots and cook for an additional 10 minutes.
Pour in a splash of water and stir to loosen any browned bits from the bottom of the pan.
Add the tomato paste, rosemary sprig, fresh thyme, black pepper, bay leaves, Worcestershire sauce, smoked paprika, kosher salt, ground nutmeg, ground cumin, and cayenne pepper.
Stir to evenly distribute the ingredients, and cook on medium-low heat for a few minutes.
Add the chicken stock and rabbit pieces, making sure that the rabbit sections are covered in stock.
Stir to combine.
Bring the stock to a gentle simmer on the stove.
Place the lid on the Dutch oven or heavy-bottomed pot, and carefully transfer to the preheated oven.
*Be very careful here.
Bake in the preheated oven for 3-4 hours, stirring a few times during cooking.
After the rabbit is almost completely fork tender, add the Yukon Gold potatoes and cook until the potatoes are tender, or another 20-25 minutes.
Once the rabbit is completely fork tender and the potatoes are entirely cooked through and soft, remove the stew from the oven.
Stir in the frozen green peas and the red wine, and cook on low heat for an additional 15-20 minutes, or until the alcohol is fully cooked off.
Remove the rosemary sprig, bay leaves, and thyme sprig.
Taste, and adjust seasoning with additional salt and pepper, if desired.
Serve hot, with a glass of red wine on the side, and toasted slices of buttered bread to dip into the stew as you eat.