I wasn't aware that there is a difference between Software Developer and Software Engineer? What does the latter entail?
Doesn't really matter what you are called, it's what salary you negotiate for the most part. Some titles are only bestowed on certain levels of people, but there are very few of those at all the companies I've worked at (Staff Engineer at one was a title only bestowed on people who had been promoted to a certain level and had certain compensation bonuses tied to it).