Employer changed name. I did not ask for new WRS(2009)

[Paulusheart]

I am preparing application for permanent residence card.
I was working 5 years and 3 months from 2005 till 2011.
On 2005 I applied for WRS registration card and then for certificate. I was given one (1st Employer in UK)
In march 2006 I changed job and asked for new certificate again. I was given one(2nd Employer in UK)
I realised that on 2009 my employer(2nd employer) moved me to his other company.
I was working same place same address same boss. Only company name has changed.
I was still on contract earning same money. I was made redundant in 2011.
I realised that I have not asked for new WRS certificate after boss moved me to his other company
(same address). I of course have contracts p60 p45 for all the 5 years.
Will they refuse my application because of WRS not informed about different name of company then?
Do I need continuous WRS certificates with exact names of companies for years 2005-2011?