please tell us your logo name

If you mean the name that should appear in the logo, it is Mona Leigh Rose. Please let me know if I've misunderstood your question. Thanks

Do you want to include your photo on your home page?

Yes. Will I be able to swap out photos and images over time, or will only the initial photo and images be static?

if you go for dynamic website, you will be able to modify all the content including photos or for static web site content cannot be easily changed.