Is there any option to for example when the creator of a claim add someone in his claim, this person would be able to teleport to the claim where he's invited in ?

Or when the person that has been added use /rp list, he could see all the claims where he can interact

Theres no way. As a people can have their own regions, and if list the regions where he is member, the list will be too muth large to show. The same with TP.