Clarification on company name & moa

Experts, please help me on this.

1. I am registering for a private limited company with a name(e.g. CALIFRAGILISTICA) that has not been registered or trademarked b anyone. I have checked the details.
   Can I register the name as CALIGRAGILISTICA INDIA PRIVATE LIMITED? Is there any capital requirement for this?
    
2. In the MoA, I have listed the objectives and I have -
   13 OBJECTIVES IN SECTION A(MAIN OBJECTS)
   26 OBJECTIVES IN SECTION B(ANCILLIARY)
   03 OBJECTIVES IN SECTION C(OTHER)
   
   Is this fine, or will there be any objection?
   We are dealing with Technology. Consultation & IT/ITES Services and hence have so many objectives to be listed. Is this fine?

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• Please help me on this.
• Also, When I try to sign documents with this DSC, it shows that the certificate & CA is not trusted.
  I followed all steps provided by nCode for the same. But still, I am not able to sign the documents.
  Please help me on this.
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• Regards,
• SRIRAM NATARAJAN