1. I regret to say I would not put too much emphasis upon your employer admitting your arrears of pay. This merely means that these don't have to be proved at the Employment hearing, which would only take up time and resources. However, this does not mean that you are entitled to any of the other relief you seek. It is merely a tactical approach which means that you are still employed by your employer, which means that you can continue in employment if you get satisfaction for other parts of your claim. So, it is the start of an approach to continue you in employment. So, you should consider what outcome you want from the hearing particularly, if settlement terms are offered.
2. Be aware that if you have continued in employment, then you haven't been unfairly dismissed. In fact, you haven't been dismissed at all, as your employment has continued. So you need to consider what is the result you want from the case. Do you want to continue working for this employer? You need to consider your own tactics in relation to the hearing.
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4. If they are aware that you are just looking for compensation, then your tactics for the prehearing will revolve around how to extract the maximum amount of money. So, in this regard, getting arrears is a good start. But I still wouldn't advise you to write and say thanks as ultimately, you need to negotiate your settlement offer. When you finally get the matter settled, you can then write and say thanks!
5. You can restart the settlement process again. However, what is normal is that talks would occur at the same time as the prehearing. Effectively, use the prehearing as an opportunity to negotiate a settlement. So, if you wish, you can have a without prejudice meeting after the prehearing with your former employer and their legal team. For this, you should write to your employer and suggest a without prejudice settlement negotiation immediately after the prehearing. It will help to narrow the issues and bring the settlement talks into a band where settlement is possible.
6. You should write back to the email and say, "Please pay me the money. The following are my bank account details". However, you should also include a line to the effect that you would appreciate if a settlement meeting could be arranged for immediately after the prehearing meeting so negotiations could continue as to see if settlement is possible.
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8. File a fresh question should you have new questions. You can mark it for my attention and I will answer it for you.