All that is well articulated but your missing somethings.And yet Kakashi showed Naruto no affection/favor out of respect for his master (Minato). Kakashi knew Naruto was weak and essentially a lost cause. It's why he focused on Sasuke. He knew Sasuke had the potential to become a great shinobi and strove to sharpen his best student.
Kakashi admitted he didn't really start to like Naruto till the rasen shuriken training.
1. Kakashi didn't show any of his student's any affection because he in fact didn't want to a lead team.
2. He focused on Sasuke because of his sharingan (something Kakashi possessed) and the potential it had (controlling the 9tails).
3. Kakashi never favored Sasuke, he just had more to teach him because of their commonalities (both ninjutsu/personality wise).
4. Like most people that you part 1 Naruto initially encountered, Kakashi yes was annoyed by his overwhelming personality and boisterous tone that was the exact opposite of his and Minato's.
5. Kakashi never deemed Naruto as weak or a lost cause but he did elaborate on his shortcomings.
6. Kakashi was one of the first people to believe in Naruto (after Iruka).