Soreness really only tells you that you've done something new, not that you're improving. Do the same exercise for just a couple of weeks and soreness will rapidly decrease.
Not necessarily. There is such a thing as overtraining. To get consistent results, you have to allow time to recover between sessions. The older you are, the longer it takes. The more advanced you are, the longer it takes. At my age, it takes two days off to recover.