After my first message I got a positive answer
Response (Olivia Hendricks) 11/09/2011 07:26 AM
Hello
Thank you for your email.
The 10,000 Starpoints for your first purchase are issued within 12 weeks of making the purchase. You should be able to view these points within the next week. Also, I have now issued the 20,000 Starpoints for meeting the spend threshold of $4,500.00 within the first three months of Cardmembership. You should be able to view these 20,000 points in your Starwood account within the next 3-5 business days.
It was my pleasure to assist you.
Sincerely,
Olivia Hendricks
Email Servicing Team
American Express Interactive Services