Do I need a new EIN and name change for converting Sole Proprietor to Single Member LLC?

I am in CA, just formed a single member LLC from a sole proprietorship.  I have an existing EIN apart my social when I was a sole proprietor.  The only name change was having "LLC" at the end of the company name.  Do I need to obtain a new EIN? or can I use the existing?  I do not have any employees.  Do I need to do some type of name change to reflect the "LLC" or if there is no change in the body of the company name does that make a name change not necessary.