Really bad anxiety and don't want to take any meds...PLEASE HELP?

Hello Thank you for taking the time to read my question and help me out Im so desperate at this point. I am 23 female I have two boys one is 5 andthe other is 2 and I am married..When my 2 year old was born they kept him in NICU for 11 days..Worse time of my life.. and since then i have had anxiety really bad..I have shortness of breath HORRIBLE thoughts some times im dizzy i have chest pains and just think the worst when i know this is all in my head..I have been to the doctor and they have elvaluated me and said i seem to be healthy inside just have very bad anxiety...Its horrible and i am tired of it! Just in Oct I lost a very close family member who i lived with and since then it seems to be worse...went back to the doctor and she again told me my heart lungs and everything sounds fine so this is where I KNOW its anxiety..I just started having dizziness not room spinning just hard to focus and of course the more i focus on it the worse all of my symptoms get...My doctor put me on zoloft and I DONT want to be on meds bc i dont want to be addicted or rely on this when i know i can get through it myself SO I HOPE...talking about it makes me feel better...so thats why i am here..PLEASE help guys anyone know what i can do to overcome this anxiety? Does anyone else have these symptoms? This is all the time or when i focus on these problems...PLEASE help! Thank you so much for listening