Should I sway every punch from mount?

No. Block first and sway only when you read a clear side; a wrong sway can cause major damage.

What is the first escape target from mount?

Recover half guard, then work toward guard or standing.

You may be moving with low stamina or without Grapple Advantage. Wait for the attacker to spend stamina.

Mount is an emergency: stop clean damage first, then use the attacker's pause to recover half guard.

How to escape full mount in UFC 6: survive ground strikes, protect stamina, deny posture, and time a transition back to half guard.