Твой means "your" when you're talking to one person. Ваш means "your" when you're talking to more than one person. Ваш is also the formal "you" when you're speaking respectfully to one person, while твой is the familiar "you" when you're speaking to family, friends, a child, etc.
It has nothing to do with respect. Proper nouns, which are names, are capitalized. If you call your father "Dad," then an example would be:
"Look at Dad."
If your father is just being referenced, then it's
"Look at your dad." It's not capitalized because he's being described as a dad, not by his name "Dad."
Nouns that are not proper nouns are not capitalized.
Soldiers returning from the war, that was common. Also, wrongfully incarcerated by strict anti-profiteering or anti-free-speech laws under the Soviet government, that was common to meet your daddy for the first time when you were 5 or 6 years old (not remembering him since you were very little)