Seat height adjustment sets the base of everything. With feet flat and knees roughly level with your hips, your thighs should rest without pressure behind the knee. If the chair cannot reach that height for your body, nothing else on it will compensate — not a deeper seat, not a softer cushion.
Lumbar support depth and height come next. The pad should meet the inward curve of your lower back, not press above or below it. Adjustable lumbar support lets you move it to the right place; a fixed curve either fits you or it does not, and there is no adjusting around it.
Armrest adjustment matters more than people expect. If the armrests are too high your shoulders lift; too low and you lean to one side to find the support. You want them holding the forearm lightly with the shoulders relaxed and the elbows near a right angle.
Backrest recline, even a small range, lets you change position during the day. A chair locked fully upright is harder to sit in for long stretches, because it leaves you nowhere to move.