Simmer, ladling in the broth 1/2 cup at a time as the previous addition is absorbed, and stirring occasionally to prevent the pastina from sticking to the bottom of the pan, until the pasta is about three-fourths done, about 10 minutes. Add the peas and the remaining simmering broth and cook until the peas are tender and the pasta is al dente, about 3 minutes. Remove from the heat and add 1 tablespoon of the butter, the oregano, thyme, Parmesan, and 3 tablespoons of the bacon. Stir well. The consistency should be quite loose, like a thick soup.