What action needs to be taken against the Administrator, what is the process, and with whom? What are the statutes?

There could be reasonable explanations for all of these items, or not. An attorney could get you answers and peace of mind. You should consider...

Is there a legal limit how much an executor can resist giving an accounting/closing an estate despite complaints against him?

Some attorneys will offer flat fees if you are worried about out of control litigation costs. Even the best attorneys cannot control every delay,...

How many hours work did you do to force the stubbornest executor you ever saw to provide an accounting and to close an estate?

Impossible to say without details, but judges will get quite anxious to have the case dealt with at the one year mark.

What are my options for getting her to settle the estate?

You should be speaking with a probate attorney about the details. You have rights and need to protect them.

Who could get my wife's guardianship?

you need to speak with an attorney immediately. The court will be hesitant to appoint a third party over you, but there are many details that need...

Is my late husband's retirement pension considered part of his 'estate'?

Quite frankly, there isn't enough information posted in the original question to get an answer. Be careful not to arm yourself with enough...

I would like to ask if I have any recourse against my sister. She has a history of taking money from family members.

I certainly hope that the "friend" here wasn't practicing law--whether or not she is working for an eldercare company. It sounds a lot to me like...

How much of a fiduciary duty does executor have to repair home?

As has been said, the important question is whether the money spent will be recovered when the house sells. I think you will probably also be...

Can we transfer the stock to mother's beneficiaries, who are myself, and my sister, without probating the will?

Depends how valuable the stocks are. I imagine (because I do not know the valuations) that you will likely need to file a probate however.

The bond is normal in cases without wills. The expense of the bond should be paid (reimbursed) out of the Estate once you become the administrator.