I was wondering if an affiliation with Northrop Grumman would raise any questions once I am able to enlist in the Coast Guard. The reason I ask is, my Fiancee just received orders to Arlington, VA after YN A-school and I have been desperately searching for jobs and while I was applying for a mail handling job with Northrop Grumman, it asked me about 25 questions regarding my affiliation with the military. So I was just curious. And if anyone can suggest jobs or places to live in or near Arlington, VA that would be awesome! I only have until June to find both haha.

My opinion on this is Northrop's manufacturing contracts with military. My father worked there for 18+ years before he passed away and there were things he did there that he could not talk about, they are most likely looking for applicants that qualify for higher clearance levels. This is just my thoughts could very well be wrong.

as far as housing google military homes for rent and there are tons of websites that will help you find good priced homes to buy/rent, how far from your station assignment.

I worked for NG for about a year while also serving in the CG auxiliary. Honestly, unless your fiance is working on procurement and YOU are also working for NG on a contract to supply something she is working on, you're OK. The reason I don't work for NG any more is they sold off my entire branch of the company to prevent conflict of interest (one branch advising the government and another supplying the expensive hardware is a no-no).
Anyway, If you can get a job with NG go for it. They're a good employer. It really shouldn't make any difference that she's a Yeoman or not. Things would be different if she was a Warrent advising on the purchase of new engines for ships and YOU were an engineer at the shipyards.
As to living in the Wasthington DC area. I was born in the area and live in Rockville. First thing, traffic is a killer. Do your best to live within 15 miles of work (both of you together if possible). Also, the subway system is a lifesaver. If you can find a place that isn't a lot of money that's close to work AND walking distance to a Metro subway station you're doing great. If you need any help and your wife's sponsor can't help feel free to give drop me a note. Victor VicNaz1@aol.com
Also, if you see some benefits to her service but don't want to join the CG yourself, you could test the waters by joining the auxiliary.

Oh I definitely want to join the coast guard. I've been working on losing the required weight for 8 months. As soon as I'm below my max weight I'll be in that recruiting office. The coast guard is my dream. As for apartments, it's just hard because all the apartment reviews for places on our price range are filled with complaints of roaches, mice, and terrible management...and these aren't cheap, run down places either. But when you find a good review, the rent for that particular place is over $2000 a month. So it's tough. And I need to find a job asap after we get there (mid to late June) but it's hard because I need to make decent money but I don't even know where to begin looking.