Are the engine names on this car really correct? I can't find proof of the I-4 and V6 being from Mazda and Toyota. What's more, the 1MZ-FE engine from Toyota was in cars between 1993 and 2006, so I highly doubt that it would appear in a 2015+ top-of-the-line Jaguar.

They are listed that way on automobile-catalog site, but that's mistake.
R4 engines are called Ingenium and they are Jaguar Land Rover development.
And V6 are AJ-V6.