First, take a deep breathe. Everything will be okay.
You graduated in May 2012 -- that was give or take 8 months ago. You've taken up odd jobs working for your dad since then. That's fine -- that's work experience that you can add to your resume that shows you weren't just sitting at home in front of the TV.
You should NOT apply for an MBA this year. You won't get much out of it, since you haven't gained a lot of work experience since graduation. You've also missed most, if not all, R2 deadlines. Applying in R3 is tough, and you have basically no work experience -- you won't get in.
You should, however, take your GMAT
if business school is something you're seriously considering. And since it doesn't sound like you have a 60-80+ hr/wk job right now, you should have plenty of time to study to get a great score.
It sounds like your dad wants you to do something with your life beyond mooching off him as a college graduate, and the easiest way to be "productive" is to go back to school. We've all been there at one point or another. The important things for you to do now are:
1) Decide if an MBA is a degree you want. If so, then take your GMAT and get it out of the way
2) Get a job in an area you have relevant experience in. You can't expect your dream job -- or any job -- to fall in your lap. Get out of the house and network. Reach out to Babson's career office for help in finding a job. The Babson network is great in the Boston area (I assume you're still in the area) and you should be able to take advantage of that. Reach out to your Babson friends and your friends from high school -- see what they're up to. Maybe one of their companies is hiring.
Yes, you've said you've applied for jobs and things haven't worked out. Are you applying for jobs you're qualified for? Are you looking in the right industries? Were you a finance major who is applying to marketing roles? That probably won't work out very well for you as a recent graduate. Search for jobs that can utilize Babson's business curriculum.
It's important to consider that even if you don't find a job that you think you'll be in for 3-5+ years, that's okay. Your first job out of college is about gaining experience-- any type of experience.
3) Go to work. Do well in your role...and then apply to business school in a a year or two or three. Your GMAT scores are good for 5 years so you have plenty of time.
(You also might consider finally moving out of your dad's house once you have an income)