I realised the NOC letter could be an issue to my application and as such I did arrange Accomodation from a landlord with a £300 deposit and the landlord added his passport copy and land registry to confirm that the Letter of Intention to move into the building was genuine and the cash deposit was non refundable. The house was 3 bedroom and 1 living room, toilet and Spam which was enough.
Also with regards to my son, I specify the monthly amount I gave to his mum with bank statements to support that payment.
I hope this help anyone in similar situation.