He doesn't show any respect because Darkstripe is loyal to Tigerstar and Tigerstar hates Graystripe, Firestar, etc. Also, Darkstripe is pretty much rude to everyone.
Darkstripe idolizes and is loyal to Tigerstar, but the nature of his "love" for him is more about admiration for his power and leadership rather than genuine affection. Darkstripe's loyalty to Tigerstar drives him to support and follow him no matter what.
First it was Redtail then it was Darkstripe when Redtail died.
Do you mean, can anybody love you for who you are? If this is the question, the answer is Absolutely Yes!!
Yes, graystripe and Darkstripe fight when Graystripe sees Darkstripe feeding Sorrelkit death berries. It's in book 6
Graystripe killed Darkstripe to protect Firestar, as Darkstripe was a traitor working for Tigerstar and attempting to harm Firestar. Graystripe recognized the threat Darkstripe posed and took action to ensure the safety of his leader and Clan.
Because Sorrelkit followed Darkstripe to meeting Blackfoot about killing Brackenfur.
Darkstripe is a large, sleek, dark gray tabby with black stripes and amber eyes.
It does not say.
Tōshirō Hitsugaya is not in love with anybody!
No he doesn't.
Yes the love their dad the porfessor.