Well No for most of the questions. But HAL cannot have required CFC making kilns needed for GRSE for 1 simple reason. GRSE need specific type of CFC for making the superstructure.And it's bound to be different from the requirement of HAL. Lets assume that these two have some middle ground of their requirement, then I guess HAL may kilns which can bake 2 ~ 4 Tejas Wing pairs at a time ?? Well then the Biggest of HAL kilns will not be able to bake the smallest section of this superstructure.
And hence I am saying they will be getting the superstructure fabricated where they have such facilities available. Also if you have some info to share please be my guest.