For the rice, in a medium bowl mix the hot rice, grated carrot, 2 teaspoons cilantro, lime zest and 1 teaspoon juice, plus salt until well combined. Set aside.
For the vegetables and peas, heat a medium-large nonstick skillet over medium heat. Add the oil, followed by the zucchini. Cook for a few minutes until crisp-tender, stirring occasionally. Add the corn and 1 teaspoon lime juice, then cook for a minute more, or until the corn is hot. Fold in the salsa and the black-eyed peas, then season with hot sauce. Cook for a couple minutes, until hot. Remove from heat then fold in 1 teaspoon cilantro and salt, to taste.
Top the cilantro lime rice with the vegetable and pea mixture, then top with avocado slices (seasoned with salt), mixed greens and vegan feta.