My daughter likes crackers (salty or sweet), apple slices (put a little lemon on them to keep them from turning brown), Banana (just leave it whole), Cucumber slices, Celery... I also sometimes feed her rice with a vegetable or cereal (oatmeal with a dab of brown sugar and cinnamon) for lunch, she doesn't mind eating it cold. Cheese (string or pieces) and lunch meat (rolled up, without the bread) are also quite popular and a great source of protein.
I also have to chime in on the language confusion. My daughter is also raised bilingually and does the same thing,even though my daughter goes to daycare full time, because I work. I understand that this is a normal part of speech development in a bilingual child.
I would caution you to take "professional advice" regarding raising a bilingual child with a grain of salt. Unfortunately many speech therapists are not trained or experienced in working with bilingual children.
I would get a second opinion and advice from someone who has experience in working with bilingual children and whose goal is to help with language acquisition in both languages (unless you have changed you mind about that...).
One of my biggest concerns is that my native language is becoming too weak in my daughter, so we actually try to arrange for playdates with other families that speak my language to counteract her "English-heavy" daily routine.
Just as a side note: being bilingual myself, I will get the occasional bout of "language confusion" and say something to my husband in my native language or mix in English words when speaking to my mother, without even noticing. Gotta love the blank stares...it always makes for a good laugh!