Hi, Andrea. Sentences 1, 2, 3, and 4 sound good. Perfect. In 5, we usually use 거두다 or 걷다(short for 거두다) as Andrew suggests. So, I would say 내일 (여러분의) 숙제 걷을 겁니다 if I were a teacher speaking to my students.
Sentence 6; I would say 빨리 니 소지품 챙겨. 챙기다 sounds more natural in that kind of situation.
Extra tips; 우리 돈모아서 아빠 생일선물 사자. In this sentence, 모으다 means to chip in.
Hope this helps.