I suppose my question is of the nature that only I can answer it, or assume responsibility.

But since I did reach my mouth, and that I was sick, owing to my own carelessness, do you think that I should make up the fasts?

also bearing in mind that my Mother may not want me to fast, but if it's wajib then i willl have to fast regardless.

As we answered above that it is an obligatory precaution is not to swallow. If fast is wajib then no one can stop you to obey the command of Allah.you must fast and explain the importance of the wajib in nice way In’Sha’Allah she will understand.