Are these sentences correct?

Dimanche la semaine dernière, j'ai vu ma cousine.

Dimanche 16, j'ai joué aux cartes.

I'll send this to our French expert, SraJMcGin.

Dimanche, le 16, ......

I'd also use a comma in the first sentence = Dimanche, la semaine dernière, ...

Otherwise, it looks fine.

I'll flag this in case you have additional questions.

Sra (aka Mme)

Are they also pronounced the same way?

Also, is it okay to omit the day of the week and say just "le 16"?

I don't understand your question about the pronunciation. It is the typical French pronunciation.

Yes, it's OK to just say "le 16."

Sra (aka Mme)

Yes, both of these sentences are grammatically correct.

In the first sentence, "Dimanche la semaine dernière, j'ai vu ma cousine" (Last Sunday, I saw my cousin), you are using the expression "la semaine dernière" to indicate that the action happened in the previous week. This is a correct way to talk about a specific day in the past.

In the second sentence, "Dimanche 16, j'ai joué aux cartes" (Sunday 16th, I played cards), you are specifying the date by mentioning the number. This is a common way to talk about a specific day in French. The word "Dimanche" indicates that it happened on a Sunday, and "16" indicates the 16th day of the month. Again, this is a grammatically correct way to express the date.