Doubts regarding drops on the floor

Q: I saw some whitish type of spots on the side of the bed like the wood and a spot on the floor though there are other spots as well like of water or sometimes we drop food as we eat in the room. After intimacy we use the washroom to clean and I feel what if while going a few drops of sperm fell and I didn't check at that time. Will the floor be impure? What if we had stepped on it. I have wiped the bed and the spot on the floor with wet tissues.

Washing off semen

Q: After ejaculation, what do I do to my clothes if it had got soiled? After my clothes got soiled, I washed it with the rest of the family's clothes. What should I do. Is the ibaadah of my entire family unfulfilled? Do I have to rinse my dirty clothes before putting it into the washing? If my bed got soiled with semen but I did not clean it, will I be napaak everyday?

Free software for students

Q: One company gives software free for students. Those students who have university email addresses can apply for this free software. I am a student but my university doesn't provide us with an email address. If I download this software and crack it for my use as a student, then is it a sin? They provide free for all students, if I don't have a university email still I am a student.