I'll quote him, instead (beginning at 0:50):
"Still, the question remains what happened before inflation, if anything, and it appears that a satisfactory answer can never be given because I can keep asking "And what happens before". There is one scenario that breaks out of this infinite regress and that is somewhat popular now among the cosmologists and this is the scenario that the universe could originate spontaneously out of nothing."
He says that inflation leaves a question about what occurred before, and the answer which is now popular among cosmologists is that the universe came about spontaneously from nothing. He describes it as something separate from inflation.
So first of all that doesn't say that inflation after happened after the big bang which is what you claimed, right?
We already discussed that. Depending on how you define the Big Bang, inflation happened just prior to or just after the BB.
In either case, inflation is about the rapid expansion of the universe, but not the creation of the energy of the universe, from everything I've seen. Think of it as similar to evolution: you can have evolutionary theory without explaining how life was created, because evolution only deals with how life acts once it already exists. Inflation deals with how the universe rapidly expanded after the energy which began the universe already existed.
No, you have that totally wrong. Inflation is how matter and energy got into the universe. Can you show me where anyone says otherwise than you?
Here's the interview where Vilenkin said we started with the laws of physics. Starting at 4:57 they begin that part of the discussion.
It's already been brought up, but sure.
"The discovery, if confirmed, will also lend support to the inflation model in cosmology – the hypothesis that the universe underwent a brief period of exponential expansion immediately after the big bang"
What is cosmic inflation?| Explore | physics.org
"According to the theory of inflation, the early Universe expanded exponentially fast for a fraction of a second after the
Big Bang."
Centre for Theoretical Cosmology: The Origins of the Universe: Inflation Introduction
"Cosmic inflation is the idea that the very early universe went through a period of accelerated, exponential expansion during the first 10-35 of a second before settling down to the more sedate rate of expansion we are still experiencing, so that all of the observable universe originated in a small (indeed, microscopic) causally-connected region."
Cosmic Inflation - The Big Bang and the Big Crunch - The Physics of the Universe
"Inflation is a general term for models of the very early Universe which involve a short period of extremely rapid (exponential) expansion"
Inflation for Beginners
"Inflation is the mysterious force that blew up the scale of the infant universe from sub-microscopic to gargantuan in a fraction of a second."
Cosmic Inflation: How It Gave the Universe the Ultimate Kickstart (Infographic)
Note that in every definition, inflation is about the rapid expansion of the universe after the energy which expanded already existed.
Note further that in a couple of the definitions it describes it as happening after the Big Bang. Apparently the Big Bang is defined slightly different by different people, as I mentioned earlier.