Does the vaginal ring help regulate your period?

No,the patch wouldn't regulate your period.

If your period is irregular it is because ovulation is irregular, as the patch works to suppress your menstrual cycles to prevent ovulation then that means you don't menstruate. Like the pill you get a withdrawal bleed caused by the drop in synthetic hormones when the active hormones are stopped, this occurs regularly but is in no way the same as having a regular period.