Hello and Welcome to 'Ask A Doctor' service. I have reviewed your query and here is my advice.
If you have a
tooth infection and it is left untreated then it will keep progressing and will cause perforation of sinus floor and will cause
sinus infection.
This is possible if you have infection in your upper teeth.
Secondly pain in arm, shoulder and upper chest if not related to heart can be due to gas formation, muscular pain, costochondritis etc.
So you should consult an Emergency room and get evaluated so that the exact cause can be diagnosed and treated accordingly..
For now you can take
muscle relaxant and see if the pain improves.
For sinus infection you should first of all you should get the tooth treated, either
root canal treatment or extraction can be done.
It should be followed by course of antibiotics, anti-inflammatory painkiller like Ibuprofen, decongestants like Pseudoephadrine, do saline
nasal irrigation, steam inhalation and use a humidifier in your room..
You can also be advised decongestant nasal sprays containing Xylometazoline or Oxymetazoline..
Avoid spicy and chilled foods..
Do warm compresses around nostrils..
Hope I have answered your query. Let me know if I can assist you further.