Loan agreements, like any contract, reflect an "offer," the "acceptance of the offer," "consideration," and can only involve situations that are "legal" (a term loan agreement involving heroin drug sales is not "legal"). Loan agreements are documented via their commitment letters, agreements that reflect the understandings reached between the involved parties, a promissory note, and a collateral agreement (such as a mortgage or a personal guarantee). Loan agreements offered by regulated banks are different from those that are offered by finance companies in that banks receive a "banking charter" granted as a privilege and involving the "public trust."
Whatever is agreed regarding applicable penalties for late or inability to comply should not only be discussed but also defined. Payment deadlines also should be set and included in the loan agreement as well. In order to effectively carry out the terms in the agreement, it is but proper to include the contact information of both the lender and debtor should the need arise to call them out.
It is an unsaid rule in the world of loans that one needs a co-signer to ensure that the student loan gets approved. That said, it does not mean that you would not get loans if you do not have a co-signer to sign on your agreement. There are some lenders in the market who would offer loans to you with you having to worry about the co-signer.
Be careful applying for private loans with banks. If your bank requires a co-borrower to sign on the agreement before the loan is sanctioned, make sure that your co-borrower has a good enough credit history. Not having a good credit history could jeopardize your chances of getting the private student loan that you would have otherwise got stand alone.