How do I achieve this realistic look?

Question

I am trying to copy a video with Blender.

I am using a HDRI world environment image but no post effects.

As one can see, my version still looks different:

Can anybody tell me what my scene is missing / how to achieve relatively exactely the same look?

When I watched the original video I didn't notice any effects, that is why I thought I could simply get away by just using an HDRI background image.

Do I still need a full lighting set?

Thank you!

Edit:

Here is my latest render according to the great changes by the answerer:

Answer 1

An HDRI is a good start.

But you'll need to place some lights manually to complete the look. Pay attention to the shadows in the reference: you'll notice that there seems to be a strong light from the upper-right.

Play around with adding and positioning lights. Try some Point Lights. It'll take some trial and error to get it close, but it's not impossible.

The only other difference I noticed was the color. I'm not an expert on color grading, but maybe try raising the contrast of your render a little bit in post?

EDIT:

I looked at your file. Here's what I achieved after a few minutes of playing with lights:

It's not exactly like the original, but it's closer. I added 4 point lights and positioned them according to the shadows in the original image. Take a look at the radius and brightness values.

Rather than change the color in compositing, I changed the actual color of the material (yes, it's too dark, but that should be easy to fix.) I also lowered the strength of the HDRI (it would probably work fine without it.)

Here's a simplified version of the file to demonstrate the new lighting.