Yes. Most all cases because deltaCP (T-Ta) is small wrt the heat of reaction.
Only for moving bed reactors and fluidized CSTR's, in which the catalyst is fed to the reactor along with the reactants, operated at steady state and for other reactors operated at unsteady state.
Sometimes. Maybe, depends if unwanted side reactions are present.
It does count. It will be a negative value (e.g. -10,000 cal/s) because work is being done on the system. A viscous liquid would increase in temperature with rapid stirring.
The inerts do not affect . Delta Cp only involves the reating species. For example
Inerts will decrease the temperature reise for an exothermic reaction and decrease the temperature drop for an endothermic reaction.
?
Only include those species which are entering the reactor. Remember