You first need to decide which PR program of the four you intend and wish to apply through e.g. if you choose FSW, you need all credential verification etc. and then put application into EE.
But if you wish to wait for CEC (for which you need to complete one year of full time job assuming it is a skilled position) you have to wait.
EE itself only puts a faster processing program in place giving more qualified people with jobs an edge in processing time.