I hope you get it sorted soon.
Vaginal pain is common with IC and also pain in the urethra. This is from the Urology Care Foundation's website
"The symptoms of IC vary for different patients. If you have IC, you may have urinary frequency/urgency or pain, pressure, discomfort perceived to be from the bladder or all of these symptoms.
Frequency is the need to urinate more often than normal. Normally, the average person urinates no more than seven times a day, and does not have to get up at night to use the bathroom. An IC patient often has to urinate frequently both day and night. As frequency becomes more severe, it leads to urgency. Urgency to urinate is a common IC symptom. Some patients feel a constant urge that never goes away, even right after urinating. While others with IC urinate often, they do not necessarily feel the urge to go all the time.
IC patients may have bladder pain that gets worse as the bladder fills. Some IC patients feel the pain in other areas in addition to the bladder. A person may also feel pain in the urethra, lower abdomen, lower back, or the pelvic or perineal area. Women may experience pain in the vulva or the vagina and men may feel the pain in the scrotum, testicle, or penis. The pain may be constant or intermittent."
It may be worth keeping IC in mind as the pain, together with the bladder symptoms, can be indicative.
Taz x