Priest can have only 1 Mass Intention during Holy Mass.
If you wish to have several Intentions on specific date, you can talk with priest before Mass.
Here you can only request Mass Intentions without specific date.
Mass Intention can be dedicated for
1. Living person/people (Health, anniversary...)
2. Deceased person/people (if more members of one family is in this Intention, write last name of family)
3. For anniversary (Anniversary of marriage, birthdays..).