These symptoms can be due to asthma.
But, to me, they look more like symptoms caused by low levels of thyroid gland hormones.
Dizziness can be due to bradicardia or low heart rate, symptom of hypothyroidism.
Dyspnea or shortness of breath can be symptom of hypothyroidism, too.
People with hypothyroidism are experiencing extreme fatigue and don't find their sleep refreshing.
Forgetfulness, impaired memory, inability to concentrate are part of this condition.
Cold intolerance and sensation of tingling, pricking, or numbness in arms and legs is characteristic for hypothyroid people.
Muscle pain, joint pain, weakness in the extremities is symptom of hypothyroidism.
Headaches, too.
People with low levels of thyroid hormones can have anemia, problems with blood sugar levels, hypertension, and all these conditions can contribute for the symptoms you are experiencing.
Try to track your blood pressure, heart rate and make some blood tests (thyroid hormones levels, blood count, blood sugar levels)