Do all HDMI cables support arc?

Every HDMI cable following the HDMI 1.4 specifications will support ARC - practically any HDMI cable on the market today. However, to avoid compatibility issues we recommend to use a dedicated "High Speed HDMI" cable. For example this one: High Speed HDMI Cable with Audio Return (ARC) support.

Does HDMI arc carry video?

HDMI ARC can carry high-quality video and audio data downstream from an audio source to a TV or soundbar. In simple words, you can plug in your streaming device, Blu-Ray player, game console, and other devices to your TV via HDMI, then channel all the audio outputs to the home theatre audio system or soundbar over HDMI ARC from your TV.

What is this HDMI ARC port on my TV?

Essentially, the HDMI ARC port lets you use HDMI as both an input and an audio output. Since ARC was introduced in 2009, it has become a very common standard, and you'll find it on virtually all TVs, soundbars and receivers sold in recent years.

What is HDMI arc, EARC and HDMI-CEC?

HDMI ARC is for sending sound , HDMI-CEC mainly for control of the 2nd device with one remote control. HDMI eARC mainly for higher-end devices (at time of writing, November 2018) and unless you are sure if your device is mid-range then likely to have either HDMI ARC and HDMI- or both.