In the vast expanse of the world's oceans, maritime security has taken on a paramount role. With increasing incidences of piracy, illegal trade, and contraband smuggling, the necessity for a stringent maritime security protocol cannot be overstressed. Given this reality, it is crucial to engage an adept maritime security company that reflects not only expertise but also an acute understanding of the complex milieu of maritime affairs.

For those in the market for such a specific service, coming to an informed decision can seem daunting. However, by arming oneself with the right set of inquiries, the task becomes less elusive. The objective remains clear: to ascertain the best fit for your unique needs and circumstances in the field of maritime security.

An initial question should centre around the company's experience and expertise. The industry is laden with complex legal implications, which can vary extensively across international waters. Knowledge of the United Nations Convention on the Law of the Sea (UNCLOS) is an absolute necessity. This international agreement, signed in 1982, formalises the legal guidelines for maritime behaviour. A proficient maritime security company must not only be conversant with these international laws but also the implications and potential consequences of non-compliance.

In addition, inquire about their familiarity with the International Ship and Port Facility Security (ISPS) Code. Following the 9/11 attacks, this code was introduced by the International Maritime Organisation (IMO) to enhance security measures for ships and port facilities. A well-versed maritime security company will have a thorough understanding of these codes, ensuring the implementation of relevant security protocols and maintaining a high level of vigilance.

Next, question their approach to piracy, one of the most prevalent maritime security threats. Here, risk management models like the Bayesian game theory can be applied to understand the probabilistic behaviour of pirates and offer insights into optimal security strategies. Does the company utilise such advanced risk management models? Are they aware of the economic implications of piracy, the Nash Equilibrium, and how it can be used to strategise optimal defence schemes?

Furthermore, inquire about the technological capabilities of the security company. The role of technology in maritime security ranges from using satellite imagery for surveillance to employing autonomous underwater vehicles (AUVs) for inspection and detection tasks. The advent of technologies such as blockchain could potentially revolutionise aspects of maritime security, such as ensuring the traceability and authenticity of goods transported. Knowledge and adept deployment of such technology could prove a significant differentiator.

Be sure to delve into the company's crisis management abilities as well. The high seas are unpredictable, and the company should have a robust set of protocols for emergencies. This includes recovery measures following a security breach, disaster response, and continuity plans. Ask for case studies or examples of how they have responded to past crises - a true test of their mettle.

Lastly, explore their workforce. The human element in maritime security is as crucial as the technological one. Understanding the maritime domain awareness (MDA) concept is essential - the effective understanding of anything associated with the maritime domain that could impact security, safety, economy, or environment. This calls for staff trained in maritime affairs, international law, and even psychology, capable of understanding and interpreting human behaviour.

In conclusion, finding the right maritime security company is a rigorous task requiring a systematic approach, understanding of maritime laws, security protocols, technological prowess, and awareness of the human aspect of maritime security. By asking these questions, you will not only gain a clearer picture of the competency of the maritime security company but also ensure that the company you choose is best suited to your unique maritime security needs.