1/ ok
2/ grew up < this is a finished action, so the perfective aspect is incorrect here
3/ did S. wrote < he's dead, cannot write any more plays so we need to use Past Simple
4/ ok
5/ ok
6/ invented < it happened in the past
7/ were you born < the same as in the above example, it happened in the past
8/ ok
9/ was / developed < as in 3, AE is dead so he cannot develop the theory any further