I am looking to set up a multi site install and want

I am looking to set up a multi site install and want to point the domain example1.co.uk to a site in multisite but have the address bar still display example1.co.uk. Is Domain Mapping the correct plugin to use?

Second question is I have shared hosting and no fixed IP but I see that the write up says that I can use c panel to set up a parked domain. Will that still allow me to keep the original address?

Thanks for your help, Mike.