Hello and welcome to e health forum.
A high TSH level indicates that the dose of thyroxine, is still low for you.
Yes, most of the symptoms that you have mentioned could be due to hypothyroidism.
Some important symptoms of hypothyroidism include - sensitivity to cold, constipation, depression, Fatigue, Joint or muscle pain, Paleness or dry skin, Weakness and Weight gain (unintentional).
You might consult with your doctor for a proper evaluation and titration of your thyroid medications. This might help to resolve your symptoms.