Firstly, DO NOT plan to enroll in more than three foundational Engineering courses during your first semester at engineering school. Round out your schedule with a math, science or other elective. Engineering is a tough major, so get your feet wet first, rather than jumping in headfirst with 4 or 5 fundamental engineering courses.
Yes, it’s a good idea to satisfy Calc II and Differential Equations at Community College, if you can. I would forgo Linear Algebra until you confirm whether or not your target engineering school requires it. Besides, many engineering schools cover upper level math with a broad course like ‘Numerical Analysis,’ which will be all the [required] math you need above D.E. Like UCBalumnus said, you’ll need a computing course at Community College. You might also benefits from an additional Literature class, even though you’ve satisfied your GenEd requirements. Today many engineering schools have begun to re-emphasize the need for good writing/communication skills.