Edit: house was finished in 1984
No one can tell you if it has asbestos in it except a qualified lab. Use a spray bottle to wet down a piece of it, carefully scrape off some of the suspect material, put it in a plastic bag and take it to a lab to be tested.
Judging by the pictures and age of the home I would conclude that you do have asbestos.
A reference site appears to have the same tile you've provided (http://www.greatenvironmental.com/accoustic.html)
If you are doing any renovations STOP everything, get a qualified professional to come visit the site to do a visual inspection OR place a tile in a garbage bag and bring it to them.
A building inspector or qualified contractor can easily confirm this without the need to do lab testing.
If they confirm you have asbestos, you will need to have them remove it by following your local codes and protocols to deal with this.