I have added the ability to add custom images in FaceTime in v4.3.

Video however, not sure on how you would like this to be presented. Looped video?

Custom FaceTime is coming in v4.3

Because of the high demand and requests for it, I will consider looking into adding custom photos in FaceTime.

For progress follow https://trello.com/c/npncMSfS.

Thanks for getting in contact.

This has most definitely been fixed, hopefully for good, in the up coming v4.3 update.

In the middle of fixing/improving this at the moment.

Names will be shortened to 'A Richards' - if user has first and last name.

Alternatively if no surname is provided then Messages will just display 'Ash'.

Likely to be shipped along with Twitter DM's in an early v.5.x update.

Follow https://trello.com/c/agWQzzAn for progress.

Likely coming in an early v5.x update.

Follow https://trello.com/c/e7XZ4GUj for progress

Twitter & Instagram will have this.