Anxiety disorders can manifest with many symptoms that can include symptoms like yours: chest pain, headaches, nausea, fatigue, moodiness, neck and shoulder aches, dry/tight throat, lightheadedness, loss of concentration, breathlessness, etc. Many of these symptoms can be found in real, organic diseases. That’s why anxiety disorder is also called "somatoform disorder". But before establishing this diagnosis, all the possible organic diseases of the lungs, heart, head, muscles, ears and eyes must first be excluded.
About your questions these are some concrete answers:
1. Dizziness can be due to inner ear disorder, cerebellum disorder, anemia, hypotension, etc. You can consult an ENT, neurologist and cardiologist before blaming anxiety for your dizziness;
2. Heart rate is normally lower during sleep because you are not doing any physical activity. I recommend not check your pulse during sleep again;
3. The best treatment for anxiety is psychotherapy combined with some of the new generation antidepressants like selective serotonin reuptake inhibitors (SSRI). You can consult a mental health professional about this;
4. Xanax (alprazolam) is a sedative and anti-anxiety drug from the group of benzodiazepines. It is used for temporary relief of the acute anxiety symptoms. Xanax can’t be used for long term treatment because it causes dependency and its effects become weaker in time;
5. If you have a real heart problem, Xanax won’t help you. But if anxiety causes you to think that you have a heart problem then Xanax can, most likely, help you.