What are the pros & cons of site-directed mutagenesis? What are the alternatives?
SDM will be the perfect tool for this mission, unless the plasmid in question is very large (20+ kb). 

When you have performed the SDM, digest the products with dpnI to remove the original plasmids, transform e.coli and use a selective media matching your plasmid. Only bacteria with the plasmid will then be able to survive and form colonies, pick several colonies and perform a miniprep for each and sequence the area of interest. You can use the rest of the miniprep with the correct plasmid for transformation and expression. So skip step 5.