Convincing one's parents that one wishes to study something Islamically beneficial

Q: I want to pursue a career that is more or entirely Islamically alligned but my parents want me to pursue architecture in which I have little to no interest especially as it is not Islamically beneficial (except obeying my parents). I can convince my parents and they will accept but they will not accept very happily. What should I choose?

Taking up a profession that requires drawing pictures of animate objects

Q: Can I give an entry test of an architecture university that might require to draw a face. And, can I practice for doing that beforehand. The university would also teach sculpture, art, etc. in the first year and I might be (or might definitely) be required to draw/sculpt faces and other things, etc. What is the ruling on this?