Preheat oven to 450 degrees. Line a baking sheet with 2 layers of foil. Place whole beets (bulb only) onto the foil and drizzle with olive oil, and season with salt and pepper. Using the top layer of foil, wrap the foil around the beets. Bake for 1 hour, or until fork tender. Cool and peel outer skin off. Slice into round disks.
Place the goat cheese log in the freezer about 10-15 minutes before you're ready to slice, it will make it easier. While chilling, prepare the breading "stations". In a shallow bowl combine the panko bread crumbs, parsley, thyme, garlic, salt and pepper. In a separate shallow bowl add the flour. In a third bowl whisk the 2 eggs together.
Slice the goat cheese in 1/2 inch slices. Be gentile, some slices can tend to break. Roll a slice of the cheese into the flour to coat, then the egg, then the panko mixture coating all sides. Place on a baking sheet, and repeat until all slices are coated.
In a skillet add enough olive oil just to coat the bottom of the pan about 1/4 inch deep. You don't want to dunk the cheese, just pan fry the bottom. Heat the oil over med-high heat. Gently add the goat cheese into the oil, it should sizzle when it hits the pan, if it does not, the oil is not hot enough yet. Fry for 2-3 minutes on each side, until golden brown. Remove slices onto a paper towel lined plate to soak up any excess oil.
Whisk together all of the dressing ingredients. Plate the salad as a single serve or as an appetizer for people to build their own. Place arugula on a platter, then the roasted beets, then the fried goat cheese. Drizzle desired amount of dressing over everything! Enjoy!