Physical Sciences 100 title seems like a non-majors’ science course that will not be accepted for subject credit for engineering majors. It may be better to choose a humanities or social studies course of interest. For science courses applicable to mechanical engineering, calculus-based physics or general chemistry are more likely to give transferable subject credit. Has the student had at least high school physics and chemistry (not necessarily AP level)?
You may want to check on https://www.assist.org to make sure that English 101 and 105 are applicable to UC and CSU English composition requirements.
For math beyond single variable calculus (calculus 1 and 2), the courses most applicable to mechanical engineering are multivariable calculus (calculus 3), linear algebra, and differential equations. Discrete math is more applicable to computer science majors and as practice with math proofs for math majors, though it can certainly be taken as an elective for students interested in it.
If the student plays a sport, is regular physical education required?