Homicide IS murder.
So after I typed that line "homicide IS murder", I decided to google it and came up with this (learn something new every day):
"The killing of one human being by another human being.
Although the term homicide is sometimes used synonymously with murder, homicide is broader in scope than murder. Murder is a form of criminal homicide; other forms of homicide might not constitute criminal acts. These homicides are regarded as justified or excusable. For example, individuals may, in a necessary act of Self-Defense, kill a person who threatens them with death or serious injury, or they may be commanded or authorized by law to kill a person who is a member of an enemy force or who has committed a serious crime. Typically, the circumstances surrounding a killing determine whether it is criminal. The intent of the killer usually determines whether a criminal homicide is classified as murder or Manslaughter and at what degree."
As far as applying the death penalty...the jury needs to first determine her guilt or innocence, and hopefully they'll find her guilty of 1st degree murder. I hope they don't get hung up on the fact that they would then have to decide death or life in prison. I have no doubt that some jurors feel the same as you (it must be a daunting decision to make), but they shouldn't be considering her sentence when they're determining her guilt/innocence. They need an unanimous vote for death, and honestly, I don't think they'll get it. As pro-death penalty as I am (in the sense that I believe in the need for its existence) and as much as I believe she fits the criteria established in this case, I don't necessarily personally believe it should be applied here. I'm good with her rotting in jail for the rest of her life.
Anyone familiar with the murder of Dr Petit's family in CT? Those killers DEFINITELY deserve death, IMHO. What they did to that family is beyond horrific.True.

I'm half watching JVM, so this info is probably half correct.

It appears that a Travis Victor Alexander was arrested in 2002 for shop-lifting and getting into a scuffle with someone at the grocery store, served 9 days in jail and 3 years probation and ordered to stay out of the store and away from the person he scuffled with. This is something that Jodi supporters posted online as proof of his violent tendencies. BUT the woman who is writing a book about the Jodi Arias case did some research and found out that it was a relative of Travis who stole his identity who was arrested, and that Travis had even spoken about it when he did his motivational speaking.
Also wanted to share this...the website for Alyce LaViolette, who is likely the expert speaker on domestic violence who will testify on Jodi's behalf:
http://www.alycelaviolette.com/
As a witness, she shouldn't be watching the case, but if she is, I wonder if she's re-thinking things or still buying into The Jodi Story.