I had my Breast Augmentation done 5 weeks ago and my right breast is still sore and painful at times.

This is not uncommon only 5 weeks postop. Be sure to address your concerns to your plastic surgeon. Best of luck.

Everybody's different after your healing maybe typical for you based on the difficulty of surgery and your body's response to surgery. A physical examination by your plastic surgeon will determine if this normal for you.

If you had a submuscular placement of your implant and you are right handed, I have one possible explanation. The pectoral muscle is attached to the humerus [upper arm bone] and will pull the pec muscle every time you use your arm.I sometimes see a patient become pain free after 2-3 weeks, then start hurting again due to muscle spasm on their dominant side due to feeling better leading to a bit of arm overuse. Try to take it easy and see your surgeon. It is a lot easier to figure out what is the problem by looking at a patient in person. Hope you get to feeling better.

Some glandular placement of the implant would be unlikely to contribute to pain five weeks after breast augmentation. Sub muscular placement on the other hand can sometimes generate discomfort considerably longer.

Thank you for your question.   This type of soreness is not uncommon.   I would recommend gentle massage and stretching of the breast 3 times a day to reduce risk of capsular contracture and to alleviate your symptoms.   Close followup with your plastic surgeon is recommended.   All the best.