One big element is 'in my perception of the problem' the calcitonine. Looking to the old symptoms i am more tended to think about Calcarea. Problem is which form of calcarea...

First of all you are writing about osteoporosis. What you tell is that there is a hyperlaxicity of the joints. I am afraid that the allopathic diagnosis is not ok.
If there is hypermobility it could be more directing to calcarea fluorica. Also there could be a problem with the ears ???

Depression is for me some misty diagnosis... Everybody can be depressed at a certain moment but do'nt connect it to Alzheimer and Dementia.
Combining the overuse of anti-biotics and sinusitis and overreaction on Calcitonine or other Calcium products and... this feeling of getting insane (= a kind of delusion) and her vertigo i feel more on starting with Calcarea Carbonica in 200 K one time and waiting for reaction (and report please).
I know it is very difficult and expensive to go to homeopath. This is a way that can help you but please follow up and report ...
Also do'nt theorise to much about the calcium-rates because this is not the problem !!! In homeopathy the dis-balance has to be corrected and this with the right remedy. May be calcarea Carbonica is not directly the right but it is a real good beginning (if you have not other opportunities...)