My son got homesick during Basic, but his timing sucked, gone over Christmas and he got Dear John'ed. Plus he had allergies and sinus infections that for whatever reason (mostly didn't want to be seen as a slacker) he didn't get taken care of adequately.
He has yet to get any deployments, one of his HS classmates in on his second tour to the sand box. He fears he will be shoveling shit in South Carolina the entire war.
As noted It's your job. You and your family need to realize that you have taken a job that requires travel and separation. You and your family need to get to the point real fast that they can do things without you. If they can't you will get an extra layer of frustrations to deal with, while gone and while back.
If your girl/wife doesn't understand that you are going to be gone your marriage will not last. It's hard enough being a military wife, even when well adjusted to that world. If she won't or can't, it's all over. My brother's wwife couldn't. She ended up in Japan going to the club every day getting loaded and taking part in the My Husband the Rat he did this to me Club. Ma Danby, on the other hand, had a 30 year USMC Stepgrandfather, a retired GMC (EOD/Diver) Uncle, and knew what was coming when we began dating in College (me) and HS (her).
I went to Pensacola and she stayed home to finish her degree. I flunked my fifth Flight Physical (probably should never have gotten into NROTC with a chronic ear drum rupture). So I spent 8 months waiting for orders, should have been 2 weeks, but that threw a big wrench into any plans we had. You can't plan if you don't know where you will be. Lots of letters. Then I got orders finally and I ended up 30 miles from home. Had about 7 months (seeing her very frequently) until we got married and then about 5 months until the ship left the yard. Then for about 6 months, out Monday back Friday, then operations. Several several week cruises, I spent our first anniversary in Hawaii. The flower store misdelivered my peace offering over that. A mini deployment for 4 months back for 3 WesPac for 9 months. All told our first 2 years of marriage I was gone a cumulative total of 17 months. I got out, stayed Reserves. 2-3 weeks overseas annually except for 4 schools, one of which I was an Instructor. After 10 years usually 2 overseas 3 week trips a year. (I was in a Reserve Community that paarticipated in JCS exercises twice a year, and fell on our anniversary or her birthday and Thanksgiving every year, great timing hunh?) And 11 months overseas for Gulf War 1, leaving when she was 7 months very pregnant with our youngest. She still speaks to me on occasion, we have been together for 30 years now. My civilian job had some travel, including a 2 week trip that turned into 3 months in New Jersey. So I can tell you from many long years of experience, 2 weeks away is a piece of cake.
I missed one boy starting to walk (I was on Guam), a broken arm (I was at White Sands) and a broken ankle (New Jersey).
Learn to write informative and entertaining letters. DON'T BITCH OR GRIPE IN LETTERS OR PHONE CALLS. You can solve problems long distance by trying, you can fuck things up pretty easily too. Lots of letters.
(By the way, drinking your way to fun is not a good idea.)
Remember the old slogan "Join the Navy and See the World." It was and still is a truism. If you join the military, your family more or less joins too. AND you will travel. If you can't do that. Don't join.
When you get someplace, (assuming a friendly visit) go out and see the world, don't stick to the immediate area and drink. Check out the historical sites. In the States visit Civil War or Revolutionary War battlefields, National Parks, anywhere museums, eat on the economy, join activities or clubs. Don't vegetate. It can be the greatest thing you ever do, take advantage of what you can. You'll find travel is (usually) exciting but separations aren't. Just make an effort to enjoy things.
You will get over it.