Settlement agreement payments and next step after redundancy

gary4321

Hi there.
Hoping you can help with a few queries re the above.
I have amicably left my company after eight years due to covid with a settlement agreement (via a solicitor) which is generous but less than the £30k no tax/NI limit.
1. Do I need to contact HMRC to tell them of my agreement money, even though it attracts no tax/NI? I'm assuming that my bank will inform them of the payment into my account and I will be contacted if I don't contact them first? 
2. Do I need to contact HMRC (or whoever) to inform them of my redundancy in order to get a new tax code, and what would that tax code be if I am currently looking for work and don't have any idea of future annual pay?
3. Do I now contact my local Job Centre and say that I am unemployed and looking for work? Does this mean I can register for unemployment benefit or does the fact I got a settlement agreement payment mean I am not eligible for this benefit?

Apologies - probably seem like very basic questions to most but I have never been unemployed before and I'm now 55 and in need of some advice!

Thank you.

Comms69

1: nope
2: nope
3:only if you want to claim benefits, its new style jsa and claimed online

gary4321

Hi Comms69, really appreciate the response.

getmore4less

Claim contributions/newstyle  JSA from day one as you get your NI credits

JSA is taxable, in my day HMRC got sorted by them adn changed again once in new employment through new starter/P45   

if planning a break then P50 was an option.