Congratulations on breastfeeding her! THat is so awesome and wonderful for her! Whatever she is NOT getting from food, she is getting from you. Make sure you are doing all you need to for vitamins, so you don't get run down also. So cool! If she wants to go exclusive when she's sick - DON'T WORRY ABOUT IT. The more you stress, the more she will notice and it will affect your milk production.
Same here. Essentially my son nosedived from 75th to below 3rd.
What is her attitude/temperament/etc.? Is she happy a lot of the time? Or is she cranky?
You're doing great with the veggies/fruit - have you thought of meat at all or are youholding off until she is 1?
One fruit you can add that most kids LOVE: Avocado. My son adores it and asks for it by his name (think: first syllable really drawn out). It is higher in fat than most fruits and it has a buttery consistency that melts on the tongue (I guess, I don't eat it myself, but that was described to me). It is I think 5 g per serving (you'd have to look up servings, but she can eat as much as she likes :) My son has eaten up to a whole avocado at times, though we usually limit him to 1/2 at a meal, so his body gets the benefit of fat and vitamins at the same meal.
Don't let the doctor scare you - unless her curve is going down totally. My son's curve didn't go down, it just 'plateaued' - got really flat for a bit. Pediatrician was doing the equivalent of going off the deep end, but I guess she has to with everyone bc you don't KNOW until you see how the curve pans out.
Another thing you can do: when you make your food at home, prepare it with olive oil. I wouldn't go so far as french fries as far as drenching, but if you had toast with margarine, you'd put a good Tablespoon on for yourself so it's not so dry (go figure, dehydrate the toast then add butter to make it softer :)
Keep up the good work with the breastfeeding - it is doing her a world of good.
Don't worry about a sippy for water - try a cup. Even if she gets just a sip, that's great. And if you're not starting fruit juices yet, don't. Plain water is all she will need, especially on hot days. Your milk will be in high demand there too!
Good luck, don't hesitate to send me a message if you need more ideas or support.