Others have probably told you this already but there's no need to jump to getting a lawyer involved at this point. It's most likely an unintentional screw up.

Continue following up with both the company and the bank. If it is urgent, I would also let your supervisor at the company know, because the HR trolls who run this stuff at big companies are usually incompetent, and a pissed off manager at the company is more likely to be able to produce results from them than you are. (And any manager should be pissed off that employees or contractors are not being paid promptly.)