Geigo,
You might be a little more specific, as your question makes little sense. I'm uncertain of weather you want to know about ramifications regarding regulation, or weather you want to know how responsible you are for the persons or property you carry. With so little information you provide, no direct reply of substance may be returned.
As a pilot in command, your duty is constant and does not waver; you are responsible at all times for the safe conduct and safe outcome of the flight. If you fail to meet this duty, then yes, you are responsible for whatever may occur. If your question involves any civil legal action that may result from your failure to this duty at any time, then the simple answer is anything is possible. Anything. Hurt someone or place someone in jeopardy, and there is really no limit as to what can happen to you, to the company providing the airplane, to your employers, to the comany or organization for whom you're flying, the entity which arranges the flight, and so on. In civil action, the field is wide open, and whomever might be attached to any resulting action is a target insofar as the person(s) taking action are able to name them.
In other words, screw up, you're screwed.
If instead you're asking about insurance issues, then you need to speak to the insurance carrier. Do not assume that because the flight is insured that you are insulated or free of "liability" or duty. Your duty never goes away. Have a problem, expect to be held responsible for your actions and for any duty to the passenges, property, aircraft, company or organization, and persons or property on the ground which might suffer injury (or potential injury) from your actions or lack of actions.
Remember that what takes you thirty seconds to decide and do, a jury may have seven years to decide upon. A jury which was never there, has no sympathy for you or your needs or demands, and that does not understand flying or understand what you understand.
If instead you're talking about regulation, then you need to provide more information. If you're a private pilot and want to know, then the answer is very different from you being a commercial pilot. If you're going to be transporting persons from one location to another, however, you may also be placing yourself in jeopardy of Part 135, esepcially by providing the airplane and volunteering the flights, particularly if you receive back compensation for your actions...and don't forget that compensation includes the time you write in your logbook...even if you're no longer a private pilot and have the capability of flying for hire as a commercial pilot or ATP. Additionally, by offering transportation, depending on the circumstances under which you have done so, other issues may be attached.
Again, more information is needed to address your question.