Is 130lbs overweight for a 5'3'' woman?

That weight can be just fine or overweight, depending on the condition of the woman. If she has good muscle tone and is quite active, it's probably a good weight. If she's sedentary and weak, she's probably overweight, although not too much. Actually at 5'3" and are finished growing 130lbs is probably a good weight to be healthy. At 5'3" you should weigh around 115lbs but another 10-20 to be healthy so you're perfect.