Am I required to make up the prayers I performed in a previous period, given that I was ignorant of the ruling regarding the emission of urine drops after urinating, and can I adopt the easier opinion that making up the prayers is not obligatory in my situation?

What has been mentioned is nothing but waswasah (whispering of Satan), and one must turn away from it and not indulge in it. There is no need to make up the prayers as long as the matter is merely doubt and waswasah. Even if what was mentioned were true, it is permissible to adopt the opinion of those who hold that whoever omitted a condition of prayer out of ignorance is not obligated to make it up. For one afflicted by waswasah, it is permissible to adopt the easiest of opinions. The cure for waswasah is to turn away from it and ignore it.