I don't think the ceiling tiles are sheetrock, but my answer is effectively the same that it's probably not dangerous.
It appears to be tegular (having a rabbet cut around the edge) ceiling tiles manufactured by Armstrong in a year where laser imprinting of the backs of the tiles was possible. 03/03 date on one of them might be day and month or month and year, but in any case they are highly unlikely to contain asbestos.
From their FAQ:
2 - What do your mineral fibre tiles consist of?
Our mineral fibre tiles are made from a combination of the following naturally occuring, processed and recycled materials in varying proportions depending upon the tile type: mineral wool, clay, perlite, cellulose and starch mixed together in a water based process before being cured by heat. They are then finished with a water based paint, or laminated scrim and paint, decorative facing. All these materials are environmentally safe and our factories comply with ISO 14001.
Note: Asbestos, in any form, is not and never has been used in the manufacture of Armstrong ceiling tiles.
http://www.armstrong.co.hu/commclgeu/eu1/uk/hu/FAQ_other.html
https://www.armstrongceilings.com/commercial/en-us/commercial-ceilings-walls/ultima-lay-in-and-tegular-ceiling-tiles.html
