1. The EB1C has the additional requirement that the applicant's employment abroad also must have been managerial or executive (which at the end of the day means people management). This is where those who move from L-1B to L-1A sometimes fall short.
2. This requires a discussion unfortunately because if you look at the websites of 10 different schools, you will get 10 different views on whether an F-1 can get STEM OPT through their own company. My reading of USCIS guidance is that STEM OPT can be obtained through an F-1's own company as long as there is a supervision/training component to their employment.