The patient, a young college student, presents with an uneasy chest sensation and a rapid, regular heart rate of $172$ beats per minute.
Carotid sinus pressure, a common vagal maneuver, was applied. This intervention successfully reduced the heart rate to a normal level of $72$ beats per minute.
The patient's age, the sudden onset of a regular, rapid heart rate ($172$ bpm), and the termination of the tachycardia with carotid sinus pressure strongly suggest Paroxysmal supraventricular tachycardia (PSVT).
Consider the following statements with regard to pulmonary embolism :
1. Unexplained breathlessness is the most common symptom.
2. When congestive heart failure or pneumonia fail to improve despite standard medical treatment, occult pulmonary embolism should be considered.
3. Patients with high clinical likelihood of venous thromboembolism should first undergo D-dimer testing alone without obligatory imaging tests.
Which of the statements given above are correct?