Is it normal to have jaw pain and sensitivity after surgical extractions?

Talk to OMFS. Call the surgeon who extracted your teeth and let her/him know. It's fairly normal to have some soreness and you shouldn't be eating on that side for a little while after having the teeth out. Take the pain medication and anti-inflammatory medication your doctor prescribed and, if they don't help, you should show up at the office or an er.
Very common. Difficulty opening the mouth, jaw pain and bruising are common after-effects of surgical extractions. It will change multiple colors with time, but should resolve in 10-14 days.
Yes. Yes. Follow instructions of oral surgeon. After a few days, symptoms should be minimal. If symptoms increase after a few days, you may have a dry socket. If so, see the oral surgeon for assessment.
Yes. Surgical extractions usually take longer, meaning your jaw must be open wider and longer. This stresses the jaw joints and may lead to jaw pain. Swelling from the extraction sites may also migrate to the area of jaw joints restricting the opening, making opening and closing uncomfortable.
Yes, Helpful options. Yes, normal. Some helpful options. Any anti-inflammatory medication can help. Aleve, (naproxen) motrin, advil and even a holistic alternative arnica. Ice to minimize swelling can also be helpful.15 minutes on, 15 minutes off. Loritab or something similar is usually prescribed with tooth extractions, if you have no allergy to codeine. A very gentle salt water rinse after 24 hours can be soothing and healing.