Any chance that some of the burning and pain you are experiencing is a vaginal yeast infection? Those are pretty common in pregnancy, and not too much fun. But easy enough to treat, provided you have your doctors OK on it. You can get creams OTC for it. But since you are so close to delivery, I would definitely ask your doctor before trying any kind of treatment.
Sounds like your body is really warming up for labour. Horrible as it can be to go through, you are getting close to the end. Hang in there - it really won't be too much longer. And hopefully all this pre-labour stuff will have your baby in a great position for a quick, complication-free labour! All the best!