Is homeopathy something that can help with anger, irritability?

Yes, very much: Done well by an experienced practitioner, classical homeopathy can be very helpful with anger & irritability. You'd need to describe the problem in detail, and exactly how you experience it. Once the homeopath understands deeply enough, s/he can prescribe the 1 out of 3000-4000 homeopathic medicines that is called for in your case. A healing process begins, which must be followed carefully.