It totally depends on your city branch. It's a matter of personal perspective.
You can approach both the banks or connect with the corporate RM of those banks and can discuss things that you're interested in beforehand.
There might be some other reason for this drop. Just 6 inquiries don't cause a drop of 28 points. You must be utilising >30% of your line of credit.
Keep your utilisation in check and start using the cards. Your score will improve automatically within 6 months if your payments are on-time.
In that case, get the VISA variant for Tata Neu Infinity and get a complimentary Times Prime Membership 1Yr offer from VISA.
APay ICICI is available only on VISA for now.
Keep your investments on snooze till you save the amount for your emergency fund.
You can't do everything at once for 32k/month income. Moreover, having Emergency Fund is an investment in itself.
You have to wait atleast 7 working days in case of HDFC to credit points. Sometimes it's early, sometimes it's late.
Ideally, wait for total 14 days from the date of transaction to come to any conclusions.