Yes, Tigerclaw was mated with Goldenflower and later fell in love with Sasha.
TigerClaw's wife is Goldenflower. They are both warriors from ThunderClan in the Warriors book series by Erin Hunter.
Yes, Tigerclaw killed Redtail hoping that he would become deputy.
Tigerclaw/Tigerstar.
Tigerclaw who became Tigerstar
Tigerclaw is a fictional character from the book series "Warriors" by Erin Hunter. He is depicted as a dark brown tabby tomcat with amber eyes. In the books, Tigerclaw is portrayed as a fierce and ambitious warrior from ThunderClan.
ravenpaw knows that tigerclaw killed redtail and his life is at risk because tigerclaw would kill ravenpaw if he told anyone
The next short story is Tigerclaw's Fury.
Yes, Tigerclaw is eventually revealed to be a traitor in the "Warriors" book series by Erin Hunter. He betrays his clan and seeks power for himself, ultimately leading to his downfall.
By the way, it's Scourge not Scourage. Scourge appears in the first warriors books. He is the main antagonist besides Tigerstar (Tigerclaw). He is Firestar's half-brother as they have the same father (Jake, a kittypet). Scourge ends up killing Tigerstar (Tigerclaw), his comrade in The Darkest Hour.
Many atempts to kill Bluestar were made by Tigerclaw/Tigerstar, one in which Cinderpaw falls into.
In the book "Warriors," Tigerclaw tells Ravenpaw to keep silent about what he witnessed in order to protect himself and his safety. Tigerclaw warns Ravenpaw that revealing the truth could put him in danger.
The Warriors Series, by Erin Hunter, has many real-life lessons, such as starting a new school (Rusty joining ThunderClan), or bullies (such as Tigerclaw with Ravenpaw). As far as I know, there is no main lesson behind it all.