Ruling on celebrating ‘Aashooraa’ or taking it as a day of mourning


What is the ruling on what people do on the day of ‘Aashooraa’, such as wearing kohl, taking a bath (ghusl), using henna, shaking hands with one another, cooking grains (huboob), showing their happiness and so on…? Has any saheeh hadeeth to that effect been narrated from the Prophet peace and blessings of Allaah be upon him) or not? If there is no saheeh hadeeth to that effect, does doing these things constitute bid’ah, or not? What about the things that the other people do, such as mourning, grieving, going without anything to drink, eulogizing, wailing, rending their garments, etc.? Is there any basis for that or not?