No, the parent chalcone system lacks an unsaturated carbon directly conjugated to the ketone. However it may be observed in an appropriately substituted system.

NO, due to lack of  alpha sp3  electron donor carbon, but it may possible if beta unsaturated carbon substituted aromatic ring has electron donor such as OH, NRR.

No

Chalcone shows keto enol tautomerism , you may need active hydrogen at alpha to carbonyl group and not CH=C< functionality.

Chalcones are alpha-beta unsaturated ketones.Chalcone can not show keto enol tautomerism because it needs active methylene group adjucent to keto group so that H can shift to oxygen atom of C=O group.

The occurrence of this structural phenomenon in chalcone analogs is influenced by various parameters.