Problem:

I just wanted to understand the basic steps behind the replication of the lagging strand of DNA:

• Have helicase unwind it first
• DNA Primase lays down RNA primers in fragments, called Okazaki fragments
• DNA polymerase III goes through and corrects all the mistakes (essentially replace the Uracil with Thymine)
• DNA polymerase I goes through and removes RNA primer
• DNA ligase hooks up each of the 5' to 3' end fragments

Question: Is this the correct order of steps? If so, does the leading strand need any RNA primer or does the DNA polymerase just start and go to the end without any help?

Please provide the correct answer.