Hook it up: to attach to a source. I hook the hose up to the water. I get a computer to function by plugging every cable in where it goes and plugging it all in to power and a modem. "Hold on, I've got to hook this computer up." Similarly, "hook me up": please attach me to the source. "You get free pizza every Thursday? Hook me up!" Meaning, help me get the free stuff too! Or, "I need to buy (whatever is hard to find). Do you know anybody who can hook me up?" (Do you know how to connect me to the right people?)
Model it up: be a model or act in all ways like one. This is not an actual phrase, but just used for the show's naming scheme.
Doctor it up: this is an idiom, but it does not mean to act like a doctor. To doctor something up is to make something better that was broken or not good. "The soup was not very tasty, but I doctored it up with some hot sauce."