Hi..
Welcome to HEALTHCARE MAGIC..
I have gone through your query and can understand your concerns...
It seems that you have a deep infection in gums leading to inflammation and pain and as the gums are sore and painful the teeth associated with it also experiences
radiating pain from the gums although they may not have any infection...
There can be some other causes of swelling and pain in gums other than infection like Nutritional Deficiencies (iron and Vitamin B and C),
hormonal changes in
pregnancy and
menopause (in females), and side effects of certain medication etc..
You should consult a Periodontist who is an expert in gum diseases and get evaluated along with a full mouth x rays or OPG to rule out the exact cause and nature of inflammation..
Treatment of underlying cause can lead to resolution..
For infection Scaling followed by antibiotics and painkillers along with gum paint and chewable
Vitamin C pellets can provide relief...
Hope this information helps..