You are asking other end users here, not Apple or the service center.
First, based on 35 years of continuous Mac ownership and close to 25 years helping here, I can say the failure category you report is a very uncommon condition for a newly-purchased Apple device.
Are you certain the computer was not pre-owned? Did the service center tell you of your warranty coverage rights?
And shouldn't I get a replacement for less than week old laptop when it is a hardware issue?
What we know because Apple have published this policy:
— if you buy DIRECTLY from Apple, either through one of their online stores or in a true Apple-owned retail store, you have 14 calendar days to return the device for a no-questions-asked refund.
— if you buy from any other source including an Apple-authorized reseller, only the seller's return policy applies.
Some sales and service issues can be country-specific. Can you tell us in what country this is happening? If you are outside the US, we may be able to direct you to an Apple corporate office or, in some countries with restrictions on foreign-owned businesses, a representative firm looking after Apple's interests.