You can name all your kids "George Foreman" if you like. George Foreman did. (Some of that may have been due to the "who's gonna argue with the heavyweight boxing champion of the world" factor.)
Yes, you can name a second or third or eighth child "Jr" if you want to. One of my ancestors was a "Junior" despite being the thirteenth child in the family; I guess they finally ran out of other names.
Your first cousin's child and your child are second cosins. Your first cousin's grandshild and your child are second cousins, once removed. Your second cousin's child and your child are third cousins. Your second cousin's grandchild and your child are third cousins, once removed.
Your child and your first cousin's child are second cousins. Your child and your second cousin's child are third cousins to each other.
Your first cousin's child is your first cousin's, once removed. Your second cousin's child is your second cousin, once removed. Your third cousin's child is your third cousin, once removed.
Your father's first cousin's child is your second cousin. Your father's second cousin's child is your third cousin. Your father's third cousin's child is your fourth cousin. and so on.
Your first cousin's child is your child's second cousin. Your second cousin's child is your child's third cousin. Your third cousin's child is your child's fourth cousin. and so forth
Your child and your first cousin's child are second cousins. Your child and your second cousin's child are third cousins. It gets more complicated if you are talking about the child of a first or second cousins, etc, once removed or twice removed, etc.
The wife's name for Nadeem Sarwar is not listed online in any records. His first, second, and third child's names are not listed either.
The child of your mother's first cousin is your second cousin. The child of you mother's second cousin is your third cousin.
Your grandfather and his sister had children (a first generation), your dad and her child (a second generation). Your dad and that child are first cousins. You are in the third generation and your relation to your dad's first cousin makes you a first cousins once removed because you are in the third generation.
Sally
Your son and your first cousin's son are second cousins to each other. Your first cousin's son is also YOUR first cousin, once removed.
Her first child jessica was born in 1993 to her first husband. Her second child David was born in 2003 and her third child Mackenzie was born 2005 bothe to her second husband.