I hope these stories are what you are looking for. Sorry about number 3.
1 - Oh No! By: Huntress of Flames 55
Naraku screws with the well, what happens when Kagome is send back further into the past, where she meets Sesshomaru as a pup! But get this, she has his full grown scent on her. While as he thinks that she is his. Complete
Rated: MA
www.fanfiction.net/s/6044103/1/Oh-No
Work Yet to be done by Kat
When the Jewel is finished and the wished made, Kagome is returned to her time to only end up further in the past than when she started. Complete
Rating: MA
www.dokuga.com/fanfiction/story/3371/1
2 - Bound To Love By Blood By: brandypandyxxx
Sesshomaru has a son, of pure blood. No mother. When the demon who is supposed to nurse his pup dies, he goes looking for the Miko! Everyone is shocked, what is Kagome to do with a baby. Why is Sesshomaru watching her, will his pup bring them together? Complete
Rated: MA
www.fanfiction.net/s/5097375/1/Bound-To-Love-By-Blood
Note: There are 3 books of the bound to love by blood series:
Bound To Love By Blood (see above), Love's Bounded Blood (complete and Rated MA - www.fanfiction.net/s/5422459/1/Love-s-Bounded-Blood) and Blood Bounded Love (incomplete and Rated MA - www.fanfiction.net/s/10346334/1/Blood-Bounded-Love).
Sesshomaru's Pups By: Wren210
Sesshomaru mated and had pups... now something or someone is out to destroy all that he has, his only hope is Kagome. Will she be able to save the pups or will she watch as they die. Incomplete but is working on it.
Rated: MA
www.fanfiction.net/s/12525600/1/Sesshomaru-s-Pups
She Who the Prophecy Foretold By: Sunset Miko
Sesshoumaru needs the help of a miko, and only one will do. His request for aid sets in motion an ancient prophecy, leading them all on an unexpected quest. Secrets kept for years finally are told, and an unsuspecting Kagome is thrust into a mission with a whole new set of tasks and troubles. She is the priestess spoken of in the prophecy and her strange life is turned upside down. Incomplete but sometimes works on it.
Rated: MA
www.fanfiction.net/s/3877406/27/She-Who-the-Prophecy-Foretold
3 - I'm not clear on what your looking for here.
4 - A Smart Kagome By: Xiaome
What would happen if Kagome had reacted differently when she saw that love scene between Kikyo and Inuyasha? Complete
Rated: MA
www.fanfiction.net/s/353068/1/A-Smart-Kagome
In Death, Trust Me, as You Didn't in Life by Kanna37
Two people, separated by death, then reunited by the same, find that the old saying 'Death is only the Beginning', is true. A love story told across the boundaries of death and time - and one that conquered both. Complete
Rating: MA
www.dokuga.com/fanfiction/story/2787/1
Second Alliance by Imani Joain
A new threat has breached the peace left in the wake of Naraku's defeat. This time, it will be Sesshomaru who must propose an alliance to defeat an enemy he has no experience with: a death that claims humans and demons alike. Only his half-brother's strange miko truly understands the danger, and she is the key to conquering it. Complete
Rating: MA
www.dokuga.com/fanfiction/story/8948/1
Cause and Effect By: xXxMistressChaosxXx
one little mistake can cause a big change. inuyash betray's Kagome causeing her to completely change. is the change good? bad? what does sesshomaru have to do with this all? read and find out! Complete
Rated: MA
www.fanfiction.net/s/5966723/1/Cause-and-Effect