You're on the right track, but a few of your statements are not quite correct. Both Voyager I and II were placed in solar orbit with their small "course-correction" rockets firing at the appropriate time in their orbit to get them out to Jupiter's orbit, coincidentally when Jupiter was at the same approximate position. The trajectory past Jupiter was calculated to increase the spacecraft's angular momentum about the Sun at the expense of some of Jupiter's orbital angular momentum through the conservation of angular momentum. Jupiter's orbital angular momentum is so large that Jupiter "didn't even notice the change." This is what the phrase "sling-shot effect" means in celestial mechanics (buy the way, this phrase has been misused in "Star Trek" as well). Both spacecraft were then sent to Saturn through this "sling-shot" from Jupiter. Voyager I then was directed out of the solar system's plane at Saturn in order to make a close pass to Saturn's moon Titan. Voyager II used some of Saturn's orbital angular momentum to send it to Uranus, then some of Uranus's orbital angular momentum to get to Neptune, and finally at Neptune to gain even more speed. Right now, Voyager II is the fastest man-made probe in the Galaxy due to its encounters with 4 gas giants (the 3 other interstellar-bound spacecraft interacted with only 2, Jupiter and Saturn).
Your statement "with the Second Law of Thermodynamics...all actions have opposite and equal reactions" is not correct. The statement "all actions have equal and opposite reactions" is a simplified statement of Newton's 3rd law of motion. This 3rd law is nothing more than the conservation of linear momentum and is the basis behind the operation of rockets. The 2nd law of thermodynamics has to do the change of entropy (energy that is no longer available to carry out work) in an isolated (so-called "closed") system. In classical thermodynamics, the 2nd law can be described as follows: in a closed system, entropy always increases (on average). In statistical mechanics (the modern physics version of thermo), the 2nd law deals with probabilities and is a bit too technical to describe here (besides I have bored all of you enough).
Finally, through their various encounters with the Jovian planets (the large gas giants), the two Voyagers, and Pioneers 10 and 11, have exceeded escape velocity with respect to the Sun. However, they still "feel" the gravity of the Sun which is currently (and for tens of thousands of years) the strongest gravity source they "see." Because their velocities are so high, this gravitational force is not strong enough to return them to the inner solar system. Another way of saying this is that their kinetic energy (energy of motion) is greater than the Sun's gravitational potential energy (energy of position). Gravity is an inverse square-law, the Sun's gravitational force will never go to zero as these spacecrafts depart the solar system. However, sometime in tha far distant future, the Sun's gravity will be negligible with respect to the backgound gravitational field of the Milky Way galaxy as a whole (or by another star if they venture too close to one). I'm sorry to go into lecture mode here and I mean no slam against you rjbudz -- I appreciate where you are coming from. This is something I know a little about, I just wanted to offer some helpful corrections.