Like David said:
Ragairne.On the tear =
"US, informal. : having great success over a period of time The team has been on a tear in recent weeks."
No, in Ireland it always means going out to get drunk. Binge drinking.
Teanglann:
https://www.teanglann.ie/en/eid/boozeAr an ól - That is a common expression. It is even found in Hiberno-English - "on the drink", maybe less in a party sense though.
Teanglann:
https://www.teanglann.ie/en/eid/bingeon a binge -
ar an gcaor. It's not an expression I've heard myself.
I don't think there is a better word for partying than "craic". Whatever you consider yourself as fun, it doesn't have to include drinking at all.
Always a noun I think.
Tá a fhios acu cá'il an craic. Is maith leo an craic. Is deas píosa craic.