Hello Callughan,
I was very disturbed to read your question and feel it is despicable and heartless the way your employers are treating you.
I can also understand why you wish to leave without having to return to the bank and tender your resignation in person.
There is no reason why you cannot contact them by letter or email and resign, giving your statutory notice period. If you do this please make sure the management know your reasons for wishing to leave, including the fact that you have been bombarded by nasty emails from your employers because you had to rush to your fathers bedside because of his illness and the fact that you have become ill due to the way they have treated you whilst in their employ.
Please also ensure you keep all the emails and other communications you have received from them together with those you have sent or do send in the future.
If these emails are coming from the branch of the bank you work in and not from their head office, I would be inclined to contact the personnel department of their head office before deciding to leave. Their HO may not know what is going on and if not will probably want to investigate the issue.
You do not say which country you reside and work in but I get the impression it is in England. If so the laws protecting employees are very good.
Unfortunately in most cases to be able to use those laws you have to be employed for at least one year.
If you do live and work in England may I suggest you contact ACAS (The Advisory Conciliation and Arbitration Service).
This is an independent Government body which is a free service who give advice and help to protect both employers, but more importantly employees experiencing unfair and illegal practices by their employers.
If you can stick it out until you have completed your year you will possibly be entitled to resign from your employment and make a claim for Constructive Dismissal against the bank.
A claim of Constructive Dismissal is available to employees who have been treated badly, unfairly and/or illegally by their employers.
However you cannot simply leave and make a claim. You must draw your employers attention to the fact that you feel you have been treated badly, unfairly, or your employers have acted illegally toward you. You must give them the opportunity to rectify the problem.
If they do not or refuse to, you can leave their employ and make a Constructive Dismissal claim to an Industrial Tribunal.
If, after you have completed your year and you draw their attention to what has been happening and ask them to investigate and resolve the problem, but they simply dismiss you, you may have a claim for Unfair Dismissal, which means your employers acted unfairly or illegally in dismissing you.
Before giving your notice please contact ACAS, when of course you return to England and get their advice.
The link to ACAS is:
Acas - How can we help?
Unfortunately ACAS does not accept emails so you will need to write or phone them.
Good luck and I sincerely hope your father is on the mend.
Cy
(Poseidon)