1. This one i can barely remember, The Summary goes something like this: Odin dies in the Odinsleep, Thor is banished and Loki must learn to be king... (that is all i remember of it) Key pieces I remember is that Frigga helps Loki by talking W3+Sif to stop them from going to Thor. Loki visits Thor from time to time and gives him a blue stone (?) Loki also talks to Sif, only to find out later that it was not Sif but an impostor (frost giant i think.) I am not 100% sure, i might be mixing up my stories (i have read loads, its hard to keep track) I am sure that I read it on AO3.
2. This Story is called Redemption Song by Helenoftroy and it WAS on Fanfiction.net but it was abandoned and deleted but it was such a brilliant story even though it was only 11 chapters (i think). I just wondered if the storie is posted somewhere else or someone has a copy of it... the story is about Loki helping Thor who lost his hammer to the frost giant Thrym(?), Loki was awesomely written, his magic and his unstable thoughts and feelings and his interactions with the Avengers... I really want to read it again even though its abandoned. <<< if you find stories similar to this one I would be happy to read them. =]
Edit: First fic has been found! Thanks Sarcasticval =)