Is there a local phone number is can call for the 96th and Broadway Location?

Yes there is a local phone number.

This cable company formerly called Time Warner has always had the same phone number as far as I remember, since I have had its services for some time I think it is enough.

Spectrum should have their own store phone number where people can make phone calls in order to contact them. What's wrong with that? What's wrong with the company not maintaining a contact phone number for their business?

They dont use phones. Theres no store phone number

Not sure, but you can Google it.