my mom is freaking out, should I too?

Last week I went to the doctors because I thought I had strep and they just told me it was really bad allergies after testing me for both the flu and strep. Doctor said I had a lot of drainage in the back of my throat and that's why it's sore.
Sooo. The pollen and cedar out here is so bad that you can see it in the air like smoke. I am asthmatic and it's triggered by allergies. And I'm coughing up bloody snot. And it's coming out of my nose too. Not a lot of blood but it's there.
 And I told my mom and she's freaking out and saying I need antibiotics. 
I just think the blood is from a raw throat and nose from all the drainage I have going on because of all my allergies.  I think if I had an infection the doctors would have noticed it. I just don't want to go back to the doctor.