Looking on the internet deeply has found these results:

had your dinner? is the most popular phrase on the web.

have your dinner? 110,500 results on the web	had your dinner? 11,420,000,000 results on the web More popular!
Some examples and use cases from the internet:	Some examples and use cases from the internet:
"Have your dinner" is somewhat anglicized English (i.e. Canadian or British.) ... have dinner with us," but I have never heard the phrase, "Have your dinner" by ... where did you have your dinner is perfect....because did shows the past. it means you are already in past now you don't need to use another past with it... where ... May 2, 2015 ... I will meet you after you have your dinner. I will meet you after your dinner. I will meet you once you finish having your dinner. I will meet you ... Jun 12, 2013 ... Did you have your dinner? would be asking whether on a specific occasion in the past, maybe the recent past, you had your dinner. Have you ...	My father had dinner at your house? Okay, you had your dinner. Have you ever had dinner with your family? Roly, you've just had your dinner. Now, Roly, you've just had your dinner. Young man, have you had your dinner yet? Almighty Caesar says finish your dinner. And you had dinner with your parents?

have your dinner?

110,500 results on the web

had your dinner?

11,420,000,000 results on the web

More popular!

"Have your dinner" is somewhat anglicized English (i.e. Canadian or British.) ... have dinner with us," but I have never heard the phrase, "Have your dinner" by ...
where did you have your dinner is perfect....because did shows the past. it means you are already in past now you don't need to use another past with it... where ...
May 2, 2015 ... I will meet you after you have your dinner. I will meet you after your dinner. I will meet you once you finish having your dinner. I will meet you ...
Jun 12, 2013 ... Did you have your dinner? would be asking whether on a specific occasion in the past, maybe the recent past, you had your dinner. Have you ...