Relativity means that there's no difference between "I'm going at speed V forwards" and "That object is going at speed V backwards" (assuming neither of you is accelerating). In fact, the only way to tell your own speed is to look at the speed of the world around you, and reverse the direction.
Since it's impossible for you to observe anything else going faster than the speed of light, you can never conclude that you are going faster than the speed of light. (Unless you wanted to define everything in the universe as moving faster than the speed of light in the same direction, but that just makes the math stupid for no reason.)
If you start accelerating, you will find that the amount of energy required to go faster (or, equivalently, to push other objects away from you faster) increases to infinity as you approach the speed of light.
Since it's impossible for you to observe anything else going faster than the speed of light, you can never conclude that you are going faster than the speed of light. (Unless you wanted to define everything in the universe as moving faster than the speed of light in the same direction, but that just makes the math stupid for no reason.)
If you start accelerating, you will find that the amount of energy required to go faster (or, equivalently, to push other objects away from you faster) increases to infinity as you approach the speed of light.