The first emote, "(^_^)=ε/̵͇̿̿/̿ ̿ ̿ ̿ ̿’““““”̿ ̿ ̿ ̿ ̿’̿’̵͇̿̿з=(^_^)," is commonly known as the "bear hug" or "attack" emote and is often used to express excitement or playfulness.
The second emote, "Don't mess," typically features a raised hand with the palm facing outward and is often used to convey a warning or a sense of authority.