Hi
You would need to take the residency test at RDR3
RDR3 Statutory Residence Test
to determine your residency position for 23/24 tax year and check if split year treatment applies.
If it does, you would only report your income from the date you arrived in the UK.
If you are tax resident for the full tax year and split year treatment does not apply, you would need to declare your Singapore income and claim a foreign tax credit for tax paid in Singapore.
For National Insurance, you will need to contact the NIC helpline Number 0300 200 3500, Text Relay 18001 0300 200 3500, (Text Relay) Overseas +44 191 203 7010 (Open Monday to Friday: 8am to 6pm Closed on Saturdays, Sundays and Bank Holidays). Web Address
National Insurance: detailed information
Thank you