The word 'not' makes the verb negative. The word 'no' makes the noun (lyrics, reason) negative. 'No' is a kind of determiner (like 'any' or 'some') - it isn't like 'no' in a negative sentence in Spanish. You need to bear in mind two differences between Spanish grammar and English grammar: - In English, the word 'no' cannot make a verb negative. - We only usually have one negative word in a sentence. In the sentences in your examples, there are two ways of expressing the same idea: 1. You can have a negative verb with a positive noun: [There isn't] [any reason to do it] [There aren't] [any lyrics for this song]. 2. Alternatively, you can have a positive verb with a negative noun: [There is ] [no reason to do it] [There are] [no lyrics for this song]. I've used brackets [ ] so that you can see that the word 'not' belongs with the verb, while the word 'no' belongs with the noun. Similar sentences are "I have no money" (where "no money") is the object, or "I don't have any money" (where "any money" is the object). I hope that all makes sense.

first of all, "there is not reason" is incorrect it should be "there is not any reason" "there is no school today" means clearly that you don't have to go to the school as the school is closed for instance or your teacher is sick "there is not any school" mean that you are considering the school as a unit that can be counted (for instance as an institution or as a building) "there is not any school that has not been considered in the budget increase for next year" In this specific sentence, I would say that you emphasize the fact that all schools have been considered, taking them one by one