G280 Captain reported safely returning to departure airport after experiencing multiple systems failures related to a malfunctioning air data computer.

Narrative

Upon departure of Runway XXL at ZZZ approximately XA:10 with clear skies and light winds we encountered multiple failure issues with airspeed; R Thrust Reverser Fail; AOA Fluctuating; along with underspeed indications and Stall Warning with Stick Shaker after gear retraction. We continued to fly airplane on assigned headings and altitudes. Encountered WINDSHEAR Alert as well. We determined; as a crew; the best solution was to land aircraft as soon as possible. We [requested priority handling] while trying to land with no issues. Controllers did a fantastic job at vectoring us around while we got below landing weight. We then were vectored to XXR due to extended length and faster approach speeds. I determined faster approach speeds were necessary with anticipation of not getting a stick pusher close to the ground. We landed without incident and taxied aircraft to FBO. Maintenance came down to ZZZ. Found pitot #2 and standby pitot with debris along with Air Data Computer #2 issues. Cleaned Pitot Tubes; replaced Air Data Computer #2 and tested. Test flew on Day 0 and all systems tested good.