Do you get pulmonary oedema with pulmonary embolism?

yes

Usually a combination of blood thinners (anticoagulants) are used, and for in-hospital treatment there would be a pain killer added to the mixture. Heparin is given in the hospital through an IV,...

Yes. Any person can get it, age doesn't matter.

A pulmonary embolism is a blood clot that got stuck in the lung. It most commonly forms in the veins of the lower leg, and most commonly due to being bedridden for an extended period of time.

A pulmonary embolism is the result of a blood clot originating elsewhere in the body that travels to the lungs. There is no evidence that this is hereditary.