Don't start beefin'
Ahh look he's beefin'
Was a word we used for crying
Mr OED says (if you scroll down the various 'beef' definitions)
A protest, (ground for) complaint, grievance. slang (orig. U.S.). Cf. BEEF v. 4.
1899 ADE Fables in Slang (1900) 80 He made a Horrible Beef because he couldn't get Loaf Sugar for his Coffee.
Sounds about right i think.
Don't get in a jib or Don't get in a jib with me
A jib was a strop, or mood - the OED has lot's of jib definitions, the only one I can find to support this one is from the word jibber To speak rapidly and inarticulately; to chatter unintelligibly. Also jibber-jabber
So i'm 'avin that.