For lobar hemorrhages I routinely obtain CTA (head/neck) & MRI (brain with contrast). On MRI, GRE/SWI sequences are good to look for micro-hemorrhage/amyloid-type of pathology. I only get MRA if patient has an elevated creatinine/CKD or anaphylaxis reaction to iodinated contrast. In my opinion, ...

For a spontaneous lobar hemorrhage, I would typically do an MRI of the brain and an MRA. The susceptibility-weighted images on MRI are more sensitive than CT for determining if prior old hemorrhages have occurred.