First off ... The program does not have an option to enter "cousin", you would mark it as "other".

Second, the program does not make the determination if a person qualifies as a dependent; you make that determination.

When you enter the number of months, that field is only for EIC purposes.  Again you are the one the needs to determine if a person qualifies as a dependent, and therefore you would NOT enter a person that does not qualify as a dependent.