None of these four are directly related but all of these four are moving the markets today.
Let's start with the latest US inflation data. The headline number came in "hotter" than expected at +0.4%...holy cow, that's almost 5%/year!...but that exaggerates the true picture. More than half the jump was in gasoline prices so, if you strip that out, you only have +0.2%. And then if you take out things like cable TV and event ticket prices, you have only +0.1%. So...long story short...there's still no price inflation, at least not how The Fed looks at it.