I don’t think [name]Georgia[/name] and [name]Louisa[/name] are too matchy unless you want to avoid echoing the -a ending.
As to the avoidance of [name]Lulu[/name], I think that will depends largely on you. Does [name]Georgia[/name] have a nickname? For instance, I have discovered myself kind of automatically giving my kids cutesy nicknames. So I decided it’s better for me to deliberately choose names with a potential nn I know I like. But I know people who boycott nns completely, and still others who let them evolve over time.
I had a great-aunt [name]Louise[/name] who was born circa 1906, whom everyone called “Aunt Weezie”. It was perfect for a great aunt, but I have a hard time picturing that on a child. =)