Past Simple vs Present Perfect

[Pedro8686]

I've got a letter in which I have to put the Present Perfect or the Past Simple tense:

I'm writing to tell you all the lastest family news. Aunt Daisy (1) had a baby girl a week ago. Uncle Nick is very pleased. They (2) ...... (name) the baby Louise. Uncle Bruce (3) ...... (buy) a new car and he (4) ...... (give) the old one to Aunt Celia. Do you remember my cousin Rupert? Well, he (5) moved to Germany last month. He (6) ...... (take) his wife and children with him. Grandpa (7) took Alex on a fishing trip last weekend. Unfortunately, they (8) didn't catch any fish!
Grandma (9) has recently redecorated the living room. She (10) ...... (paint) the walls pink and (11) ...... (buy) a new carpet to match. It looks lovely.
That's all for now. Take care and write soon with your news.

I have already filled the gaps I knew the proper answer to.
Please give your answer with the explanation why there must be the particular tense.

This is what I think:

1) "had" because it was "a week ago"

2) "named" because we still know that it was "a week ago" OR "have named" because we know that they are "the lastest family news"

3) "has bought" because we want to emphasize the event (news) OR "bought" because it was in the past

4) "gave" because we are not interested in what happened to the old car

5) "moved" because it was "last month"

6) "took" because we know that it was "last month" OR "has taken" because they most probably are still there

7) "took" because it was "last weekend"

8) "didn't catch" because it is a finished event

9) "has recently redecorated" because it was "recently"

10) "has painted" > recently

11) "bought" because it is a continuation of the Present Perfect sentence OR "has bought"

[Ratt]

I tried to fill the spaces up myself and this is what I came up with:

I'm writing to tell you all the lastest family news. Aunt Daisy had had a baby girl a week ago. Uncle Nick is very pleased. They named the baby Louise. Uncle Bruce had bought a new car and he gave the old one to Aunt Celia. Do you remember my cousin Rupert? Well, he has moved to Germany last month. He took his wife and children with him. Grandpa took Alex on a fishing trip last weekend. Unfortunately, they didn't catch any fish!
Grandma has recently redecorated the living room. She painted the walls pink and bought a new carpet to match. It looks lovely.
That's all for now. Take care and write soon with your news.

Correct me if I'm wrong, please.

[Pedro8686]

Thanks Ratt. Have somebody got any more ideas?

[Hieupt]

Hello, I came up with an idea a little bit different from Ratt... Please correct me if I'm wrong.
================================

I'm writing to tell you all the latest family news.
Aunt Daisy had a baby girl a week ago. // simple past is suitable for "ago"
Uncle Nick is very pleased.
They named the baby Louise.
Uncle Bruce bought a new car and he gave the old one to Aunt Celia. // simple past is good enough since these are a series of events happening in the past.
Do you remember my cousin Rupert?
Well, he has moved to Germany last month. // simple past b/c of "last" signal.

He took his wife and children with him. Grandpa took Alex on a fishing trip last weekend. Unfortunately, they didn't catch any fish!
Grandma has recently redecorated the living room. She painted the walls pink and bought a new carpet to match. It looks lovely.
That's all for now. Take care and write soon with your news.
_________________
Thank you very much,
Hieu Phan.

P/s: Please just correct if I'm wrong somewhere!

[Jackieguntern]

My name is Jackie, I live in New York Cityfor three years. I was born in Paris, France and move to New York City after college. I work in local TV station.I like to watch 24h

Kisses, Jackie

[Pedro8686]

[Hieupt]