Yes, that's how I would say it. JamZ (James) and JamZIZ (James's / James')
This is what the MLA style guide says (American university standard style)...although you have probably already read this.
"Note, though, that when a word ending in s is the same in the plural as it is in the singular, you just add an apostrophe:
scissors’ blades
identity politics’ critics
Also add only an apostrophe for proper names when the name is plural but the entity is singular:
the United States’ policy on China
In MLA style, proper nouns ending in s that are singular follow the general rule and add ’s :
Athens’s history
Diogenes’s philosophy
Alexandre Dumas’s novels
Some styles may allow you to add only an apostrophe: Athens’ history, Diogenes’ philosophy, Dumas’ novels.