Did you look over the lines offered:
Move 6: Correct analysis, black can't play 6...Bxd1 due to 7. Bf7#. Best response is 6...dxe5 7. Qxg4 exd4; where you have destroyed blacks defenses and will probably win back the d-pawn. You have a strong attack on black's uncastled king.
Move 13: Iffy analysis; they look relatively equal, the benefit from 13. Qh5+ g6 14. Qh3 is that if you can keep your opponent from castling long (which shouldn't be too hard), his kingside is now weaker. Maybe the reason is that after 13. Qg4 h5! 14. Qh3 h4 15. f4 hxg3 16. Qxh8 O-O-O; although down material a safer position for black? I don't know I'd say the computer is splitting hairs on this decision.
Move 23: Correct analysis. Both are strong moves but Rxd4+ seems to decided the game on the spot. 23. Rxd4+ exd4 24. Qd5+ Qd6 25. Qxa8+; not really a rook sac since you win your rook back immediately, as well as a pawn and the black king has a shattered defense. Seems correct to me.
Move 24: Correct for the same reasons as move 23, although now stronger since you have control of the c-file and your rook can easily come into the attack. ex) 24. Rxd4 exd4 25. Qd5+ Qd6 26. Qxa8+ Ke7 27. Rc6+; now you have all sorts of material threats and mating threats. I think its safe to say game over with no major blunders on your part. You can see how black is suffering due to his failure to complete development.
Move 26: Sort of splitting hairs, you are already winning by so much either path you'll still be decisively up. The reason I think the queen trade is preferred is because: 26. Qxd7 Qxd7 27. Rc7 Kd8 28. Bxa8. Now you have the king trapped on the 8th rank and you can start thinking of mating ideas with the 2 rooks.
Move 28: 28. Rc8+ Kf7 29. Bd5+ Ke7 30. R1c7 Kd6 31. Be4 Rg6!; lol best stall 32. Ra7 Rxg2+ 33. Kxg2 any move 33. Rc6# Looks like a mate in six to me, where's the mate in 2?
Moral of the story, the analysis offers lines of play which it seems you have ignored. Most of the information is in those lines of play so I suggest you read them when you get games analyzed.
Check the computer's advice on the following moves ('!' indicates really egregious advice):
6!,13,23!,24!,26,28!