There are two main types of security cameras.
There is IP which is wired with ethernet (or wifi) and has a circuit board inside it (doesnt sound like the type you have)
Then there is the old BNC type which has a power and ground cable, and then a coax cable with a BNC connector on it.
Now what do you mean by "rewire" it as besides form extending the wire there is no reason to rewire a BNC model.
Now many of the "super awesome price combo kits" come with very low end crappy cables and you often need to buy better cables.