You need to read the fine print in your contract.

You may be entitled to a refund on the air freight cost, but I think you will find the freight company exempted themselves from the costs of damage to goods and if so, it's unlikely you will be able to recover the replacement cost of the furniture. You might be able to recover the freight forwarding fee if all 8 pieces of furniture are damaged (I dont know how the other pieces are because you seem to have posted 3 pictures of one piece of furniture.)

It pays to read a contract before you sign it so you know what to expect if something goes wrong.