No....no, he doesn't.
This is way off topic, of course, but nothing could be further from the truth about Killian's motives in IM3. Killian doesn't feel *slighted* by Tony's snub in 1999; he just feels despondent that no one is ever going to pay any attention to him, and that last straw is what drives him to attempt suicide that night. But his life turns around almost immediately by the serendipitous meeting with Maya Hansen, and he finds new life and purpose with Extremis.
And in 2013, he begins the movie by actually *reaching out* to Stark Industries, hat in hand, asking for funding. When the "accident" in LA risks exposure of the flaw in the Extremis design,
Stark is the one who seeks revenge on the (fake) Mandarin. That forces Killian to tip his hand, and he decides to attack Stark instead to prevent him from tracking down Trevor and throwing a monkey wrench in the gears. Then Maya calls Killian off when she reveals that Stark probably knows the way to correct the Extremis problem, so Killian again changes his strategy and tries to actively recruit Stark to help him out.
At no point in the story does Killian embark on a program of revenge over some imagined slight from 13 years ago.