I can't ever seem to stay under my calories!!!

What my doctor & dietician told me:
Multiply your healthy goal weight by 10 & eat that many calories.
If that's more than 1000 below your current weight x 10, then eat at that level [(CW x 10) - 1000] & cut 50 cal as you lose weight & hit plateaus until you get down to (healthy weight x 10).
So if you want to be 130 lb, eat 1300 cal / day.

Ignore "net", ignore exercise. That's a bonus toward losing weight, but most of the change will come from controlling calories in.

"Most weight loss occurs because of decreased caloric intake. However, evidence shows the only way to maintain weight loss is to be engaged in regular physical activity."
http://www.cdc.gov/healthyweight/physical_activity/index.html

I think I might look into juicing some vegetables

Just _eat_ them! You will get the benefit of the fiber, which helps digestion, slows sugar absorption, and keeps you feeling full longer. (hint)

my Dr always said I get shaky due to my low blood pressure and that I need to eat at least 6 times a day

Either she misspoke or you misunderstood.
Feeling shaky & being told to eat frequently goes with low blood sugar.

Also, with only 13 lb to lose it's going to be very slow.
If you lose 0.5 lb per week, that's a victory.

Looking at your diary, you have few fruits and almost no vegetables.
Use the carbs from the alcohol & fru-fru drinks to have brown rice, whole-grain bread, beans (including hummus), more veggies... things which are going to be more filling, longer.

Have more lean protein. Here's a blog post with links to studies saying that having a higher protein & lower carb diet leads to more weight loss:
http://www.myfitnesspal.com/blog/MKEgal/view/2014-08-09-high-protein-diet-685553

Here's a table which explains the healthy ranges for macronutrients:
http://www.iom.edu/Global/News Announcements/~/media/C5CD2DD7840544979A549EC47E56A02B.ashx

page 1, carbs, 45 - 65% of calories (4 cal per gram)
page 2, fat, 20 - 35% of calories (9 cal per gram)
page 4, protein, 10 - 35% of calories (4 cal per gram)

For 1300 cal per day, if you do 45 / 20 / 35, that would be:
45 carbs = 585 cal = 146 g
20 fat = 260 cal = 29 g
35 protein = 455 cal = 114 g

We all know the adage - “Breakfast like a king, lunch like a prince, dinner like a pauper” – but it has never worked for me. I usually eat a small breakfast and then pretty much divide remaining calories somewhat equally between lunch and dinner. I always save a few calories for those nightly desires.
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I don’t always plan a full day in advance, but I do “plan” as the day goes on & base my decisions on my calorie status. I make no choices without knowing calorie content first. Before I actually sit down to eat, I know the calories. It would never work “for me” to eat a full meal and then compute calories.

Of course, all my groceries are low-calorie healthy choices – lots of broccoli, spinach etc. NO cold-cut’s just fresh meat, low-cal wraps etc.

When dining out, I go on-line & view their restaurant menu / nutrition guide and mentally make a couple selections. Doing it this way eliminates the whole drama of being out to eat with others and doing the hemming and hawing about what fits my diet. The people I am with are their own enjoyment too.

One suggestion might be to look at something like Medifast (a plan recommended by many doctors) and use it just as a guide (idea generator)to the right meals for you with the proper amount of lean protein and vegetables that fit the 1200-1400 range you mentioned – including water & exercise.

Talk to your doctor about healthy eating and physical activities.

Best wishes – and again these are just suggestions – everyone is an individual. It took me a long time to find out what was right for me.

1) if 1400 is too low for you to stay full, maybe you need more calories? I'm 5' 3", weigh 130, and I eat ~1800 calories a day (this is what mfp tells me to eat and what other calculators have told me to eat as well to maintain my weight).

2) that said, 1400 calories should be enough to keep you full if you're eating properly. Try eating more fiber and more protein. Lately, I have heavily increased the amount of protein in my diet (because I do a lot of heavy lifting) and I struggle to make it above 1200 calories because I am so full, whereas I normally have no trouble at all eating 1800.