Yes, yes and yes, please make an appointment to see your doctor. All lumps in the breast need to be examined and tested accordingly. What you are describing sounds like either a blocked duct, infection of a duct, a cyst or a benign tumor called a fibroadenoma, which can form in and around the breast. The treatment depends on what it is, cysts will usually be aspirated with a fine needle, with you being asked to return for a checkup in a few months, or some are left alone, infections may require draining and antiboitics will be needed, and a fibroadenoma can be removed surgically with minimal scarring.
Breast cancer in a woman your age is very rare, less than 1% of women your age will develop it, but all lumps in the breast require assessment by a doctor, and usually a referal for an ultrasound. I doubt you will be given a mammogram as the breast tissue in younger women is too dense, ultrasound is better, radiation free and painless.