The jawline/masseter and DAO areas are separate muscle groups and perform separate functions on the face. They can certainly be treated with Botox on the same day without any problems. I have treated the masseter and other areas on the face in one sitting without any problems in the past. Botox is an excellent product to treat both areas.
Yes. Botox can be injected into the chin to relax the mentalis muscle which results in dimpling of the skin over the chin. Some people refer to this as a pebbly or golfball chin, but this can be suppressed by two small injections of up to 5 units/injection.
Botox and fillers can be administered on the same visit and is commonly done. An experienced provider can look at your facial needs and adjust dosages and placement of both types of products. As you may know, effects of fillers can be seen right away while full effects of Botox will develop over 3 days to 2 weeks.
Your photos and description certainly make rosacea a possibility as part of your differential diagnosis. I would urge to see a physician with experience in skin care to make a more final diagnosis. There is no specific test for rosacea, but the designation of rosacea is a clinical diagnosis based on visual inspection, history and symptoms. There are topical treatments for rosacea although they do not treat the superficial residual capillaries and blood vessels which contribute to ongoing redness. For the persistent redness, laser treatments are the best method.
Jennifer6645, Based on your photos, you are certainly a candidate for Botox to the forehead area. Botox is the most effective treatment for muscle induced or dynamic wrinkles of the forehead. After 15 years of injecting Botox, I have never had what could be described as a "horror story." I would caution you only that you should choose a provider with lots of experience in the injection of Botox. Even plastic surgeons or dermatologists may not have that level of experience. Word of mouth from people you know and trust in your area is probably the best method of initially choosing a provider.