Is there any API to get id's of ALL images or videos that are commented or liked after a certain timestamp.
Is there any API to get all comments of the profile without including the 'media-id' (image or video id)
Currently there is no API to directly access the comments by time for a user profile.
You have first get all the media for a user:
https://api.instagram.com/v1/users/{user-id}/media/recent/?access_token=ACCESS-TOKEN
Then for each media, get comments:
https://api.instagram.com/v1/media/{media-id}/comments?access_token=ACCESS-TOKEN
use the created_time in the comments to filter out the latest comments, note that you only get the latest 150 comments for each of the media.