Family trees do not tell you whether people are close or distant cousins; they tell you what kind of cousins people are to each other. You, and the marriage laws in your area, decide whether two people are too closely related to make a family together.
Yes. You are related to all your cousins.
Your first cousin is the child of your aunt or uncle.
Assuming both children are on the same side of the family, your child's first cousin is a second cousin to your first cousin's child. Your child is also a second cousin to your first cousin's child. Your child can have first cousins who are not related to your first cousin and thus not related to your first cousin's child.
All of your cousin's descendents are related to you. Your first cousin's grand chid is your first cousin, twice removed.
Your mother's first cousin is your first cousin once removed.
Your grandfather's first cousin is your first cousin, twice removed.
Your first cousin's grandchild is your first cousin, twice removed.
Your cousin's child would be your first cousin once removed. So, your cousin's adopted child would be your adopted first cousin once removed?
Of course, your first cousin's child is related to you; you have ancestors who are also ancestors of your cousin's child. Your first cousin's child is your first cousin, once removed. Your second cousin's child is your second cousin, once removed.
No, your father's first cousin is the parent of your second cousin. Your second cousin is your father's first cousin, once removed.
The wife of your first cousin is not related to you.
The child of your First Cousin, and you are First Cousin's, Once Removed.
The child of your father's first cousin is your second cousin.
Your cousin (if a first cousin) and your child are first cousins once removed.