Can we search for customer by "Name" in Service Management?

In our Customers view in Service Management, we have six Lookup By: buttons. Alias, Phone, Location #, Address, Located At, and AR Customer are the ones we see. In the customer data below that we have a column for Name. Is there a way we can search for clients by data we have in the Name column? Also, we were wondering if it is possible to change, add, or remove the Lookup By: search buttons?