Bug bites that don't go away?

Well, I moved to Florida 2 years ago, and prior to that (lived in northern states), I would get mosquito bites, they would itch, but then they would go away after awhile. After moving to Florida, I would get insect bites that looked (and felt) exactly like mosquito bites, but after a few days, it would become a bubble filled with clear liquid. My dad (a doctor) told me to put some antibiotics on it and then put a band-aid over that, and it worked. After putting antibiotics on for awhile, the bite would eventually pop, and after a few days, the liquid would be gone and there would only be a layer of wrinkled dead skin left. However, after a week of leaving a popped bite alone, it would stay as a red or white discoloration on my skin, and there are a few on my ankle and arm that will itch at random times. There is also one on my face that didn't fill with liquid, but it's stayed there, and as of now, it looks like acne, or a pimple, and it doesn't itch. Also, when the remaining bites begin to itch, the color deepens into a darker red. I recently asked a friend about it and she said that she has the same problem: Insect bites that don't go away, leave a mark, and itch at random times.