Ferritin on the low end of normal can cause hair loss in some people. I have read that a ferritin level of 70 or so is needed to regrow hair. However, the bruising and bleeding gums may be an indication that you have something else going on. Do you by any chance take aspirin or corticosteroids (typically used for things like asthma, allergies, eczema)? Those can cause bruising. Here is an article about hair loss - http://www.webmd.com/skin-problems-and-treatments/hair-loss/news/20060516/hair-loss-may-be-iron-deficiency?page=1
I am much older than you (58) but have been experiencing hair loss too since an unwarranted hysterectomy.
Forgot to mention - An endocrine abnormality such as a thyroid problem can cause hair loss. Have you had any lab / blood work to check your thyroid?
Hair loss can have many reasons, unhealthy diet, poor sleep, stress etc. but if you are experiencing gum problems that means it is something else. You should consult with other doctor and take it seriously, all the best!