Is it true that some SSN have restrictions regarding credit cards and what are they?
The question is rather vague, however, if the issue is, does one have to give their SSN when applying for a credit, the answer is no. There are certain agencies which can legally enforce the request for a person's SSN or ITIN or information, the IRS for example. On the other side, the lender or card issuer does not have to extend credit to a person who chooses not to submit their SSN.
If you have good credit history with some credit cards will they still show that on your credit report and that you paid on time after filing chapter 7?
Researching to find information regarding a Miles credit card has not provided any useful information. It appears that although there are a number of credit cards that offer the collection of points for travel and air miles, there is not a Miles credit card. Some cards one might want to consider are the RBC Visa Avion card, the CIBC Aerogold Visa and the Aspire Travel MasterCard's.