this should not be a problem. responsible credit is all you should have. and I always encourage people to build a credit history before they go for the big loans in their life such as mortgages etc.
as for jet, don't worry about them. the more the merrier for them coz they can sell more miles to icici and hdfc to give you 
exactly my point.. and from my limited experience, banks dont care either since everyone is out to get new clients in the hope that some will continue to stay and better still some will pay only the minimum amount due and not the full payment and hence pay exhorbitant interest rates ..