The forces acting between two objects do not depend on the coordinate system or referemce frame you use to measure them. So the third law always holds.
The second law is different: the apparent accelerations that you measure DO depend on the reference frame, hence the second law does not hold in a accelerating frame unless you add another term to the equation (a.k.a a fictitious force) to compensate for the acceleration of the frame.
Sayan Sinha We are on earth and our frame of reference is such that the earth appears at rest. But if you see from the sun, the earth is also accelerating (as it is rotating). So, if our frame of reference is the wall and the ball hits the wall, then too, the frame of reference is an accelerated frame of reference as the wall is rotating along with the earth. Now, if you see from the center of the Milky Way, the sun is accelerating and if you see our galaxy from Andromeda, the entire Milky Way is accelerating. So everything is in an accelerated frame of reference. THERE IS NO PRACTICAL EXISTENCE OF A NON-ACCELERATING FRAME OF REFERENCE. In that case, Newton's laws should not be applicable anywhere.
Abhas Agarwal non accelerated frame of reference is a frame which is either at rest or uniform velocity . .w.r.t another frame and when u move from a inertial frame of reference to a non inertial frame of reference u feel a force known as IMPULSIVE INERTIAL FORCE OR PSEUDO FORCE it's direction is always opposite to that of acceleration
Sayan Sinha Can you give me an example of a non-accelerating frame of reference?