The lLast week. Last week

Since it's a title, you don't need to have the full sentence.

The lLast week l went to my cousin's house. Last week l went to my cousin's house.

You don't need a 'the' here.

iIt was a good opportunity to talk with him. It was a good opportunity to talk with him.

hHe is very relaxing but hed. He lives with his family in Germany ,w. We talked about various topics. He is very relaxed. He lives with his family in Germany. We talked about various topics.

As the three parts of this sentence don't really relate to each other, it's better to break them up.

at least wWe drianked a beer and played with his kids . We drank a beer and played with his kids.

There's no need to add an 'at least' here because there's no sense of 'restriction' (at least so far in your writing).

We went to the church and we observ, enjoyed the sun and we thinkedthought it was a good idea takingo take a photograph. We went to church, enjoyed the sun and thought it was a good idea to take a photograph.

- In English, you don't need to specify 'the church' unless it is important that it is a specific church that you went to. - Observed the sun is OK, but I think it sounds more like you just hung out and enjoyed the sunshine together. - Past tense of think in this case is thought and the tense was wrong for the subclause.