Botox does not cause wrinkles but often times wrinkles in the areas adjacent to the area that you treated become more noticeable when the treated area is smoother. Sometimes this is referred to as "compensatory wrinkles". The filler may or may not be required but I can't tell without a physical exam. Adding a little more Botox in the area where there are wrinkles will most likely be helpful. Botox and its competitor's are not miracle drugs but they are very effective. Often times patients noticed these adjacent areas of wrinkles after treating their crows feet or from lines. It's a little bit like updating the kitchen then noticing how bad the living room looks.
Just go slowly and be conservative. Remember, having someone who injects Botox in a way that you enjoy is a little bit like finding a stylist who really knows your face and your hair. Everyone will inject Botox a little bit differently