May be he's just jealous of the other pet. I would say doggie is the most sensitive animal.

My old doggie at time, still chose to ignore my call so constantly still i need to carry her, assuring her that she is still being well loved.

Beside what u have written, is your doggie eating well and how's the health?

Read a post on the SPCA website on doggie tips on restless dog which u may wish to try:

"My dog seems restless - should I take him for walks?
YES. It is very important to exercise your dog daily. Even if he is in a compound he needs regular exercise outside your house like a brisk walk or a run in a park/at the beach for example.
This is not only good for his heart and physical well-being, but also prevents him from getting mentally tired. This is especially the case for most of our dogs who live with us in apartments. A ‘restless’ dog will become irritable and begin to destroy your belongings looking for excitement. He could turn vicious eventually"

Don't know if the above helps.