Just checking through the list of recorded side effects from the Lupron package insert/prescribing info:
Convulsions, pain; acne; injection site reactions, including pain, swelling, and abscess; rash, including a painful rash with fever, blisters/sores, and facial swelling; vaginitis/vaginal bleeding/vaginal discharge; increased weight; and altered mood.
So yes bleeding rashes don't sound at all out of the scope of effects.
Anaphylactic reactions
Psychiatric events
...body as a Whole – aggravation of preexisting tumor and decreased vision, allergic reaction, body odor, fever, flu syndrome, hypertrophy, infection; Cardiovascular System – bradycardia, hypertension, peripheral vascular disorder, syncope; Digestive System – constipation, dyspepsia, dysphagia, gingivitis, increased appetite, nausea/vomiting; Endocrine System – accelerated sexual maturity, feminization, goiter; Hemic and Lymphatic System – purpura; Metabolic and Nutritional Disorders – growth retarded, peripheral edema, weight gain; Musculoskeletal System – arthralgia, joint disorder, myalgia, myopathy; Nervous System – hyperkinesia, somnolence; Psychiatric System – depression, nervousness; Respiratory System – asthma, epistaxis, pharyngitis, rhinitis, sinusitis; Integumentary System (Skin and Appendages) – alopecia, hair disorder, hirsutism, leukoderma, nail disorder, skin hypertrophy; Urogenital System – cervix disorder/neoplasm, dysmenorrhea, gynecomastia/breast disorders, menstrual disorder, urinary incontinence.