This is an excellent question. Both Computer Science and Software Engineering are relevant curriculums in the technology industry, especially in the IT/engineering career fields. However, I would recommend choosing Computer Science because it offers more breadth and depth in the IT/engineering career fields. This means the Computer Science education will cover all aspects of the IT/engineering field, while the Software Engineering curriculum will be streamlined around software development. Also, the Computer Science curriculum will include aspects of Software Engineering. The Computer Science education will broaden your education and your career options beyond just software development.
Good question. It depends on your interests and the degree you are aiming for. I would recommend taking at least one of each so that you can have a good understanding of the curriculum. My University offered free auditing of classes. May be that will be a good opportunity for you to get a preview of the class syllabus and material.