First thing I would do is separate each item. Dont send it through assembled unless you feel like having your bag searched. If they still search your bag they will run a test on it and it will come back negative therefor they wont consider it a threat and you will be good to go. They may ask what it is but thats about all the questioning you will get. I say to dismantle it because I know a 901 looks really bad on an xray. I saw another ecig go through once but Im not sure what kind it was because I only saw the xray not the PV itself but it also looked bad. I can only imagine what a prodigy would look like. If you want to be very safe from a bag check you can run the prodigy by itself. Also the eliquid is perfectly fine in you 3-1-1 bag. 3.4 ounces equates to 100ml so you are well under with 10ml. With what you are bringing even if completely assembled inside a bag what you are bringing would not create a problem it would just slow down your trip through security. Like has been said earlier Ecigs are not illegal and have not been added to the prohib list so there are really no worries.
Thank you for the tips!! This is really useful.