What can I do in case the Tata Sky technician, despite the many calls to customer care, doesn’t come to resolve my problem? Is it wise to go to the consumer court?

Being associated with DTHConnect.com and DTH Industry from past 14 years, I can tell you that Tata Sky is known for the best customer service among all DTH operators. It is very surprizing that you are having such an experience.

I will suggest you to please follow these points before going to consumer court-

1. Please check your registered mobile number. It might be possible that in records of Tata Sky incorrect number of yours is registered and the technician would be calling that incorrect number again and again.
2. Write to Tata Sky on their social media pages.
3. Write to higher authorities of Tata Sky. You can find the email IDs on Tata Sky website.

I am sure this will resolve your issue.