Which one of the following is correct?

Definition of Absolute Phrase

A phrase having a subject but no finite verb and modifying the full sentence is referred to as an Absolute phrase.

Examples of Absolute Phrase

• My cousin finally returning to the homeland, we will be able to have fun in the family gatherings like before.
• The singer’s performance in the concert, the organizers were so happy.
• Jeff is waiting for his friends, having the food cooked in the microwave oven.
• Having the work done early, I decided to go home.
• The concert finished, we all were ready to go the restaurant.
• Being a doctor, you should know it.