I am 14 and started my period in January. I had a second period in February. Now it is may and have not had a period since. I have had two different times where I had brown discharge for about a week each. Is this my period? Is it normal? Do I need to tell my mom and go to the doctor?

Yes, Of course.
Jast run to your mom and tell her about it,
And she will decide the next.
But I think you have to discuss with a doctor.