As a task force appointed by Gov. Rick Scott to examine Florida's "Stand Your Ground" law took public comment Tuesday in Seminole County, Trayvon Martin's parents are calling for lawmakers to make changes to the controversial law.

Members of the special task force discussed the controversial law at Northland Church, in Longwood.

Outside Northland Church sat dozens of boxes, waiting to be delivered.

Inside the boxes: The signatures of 375,000 people collected for a petition on the website, calling for Florida's "Stand Your Ground" law to be repealed or amended.

Travyon Martin's parents presented the boxes Tuesday afternoon, saying they want to replace the law with a new one, dubbed "Trayvon's Law," which would remove part of the language referring to the initial aggressor.

Florida's "Stand Your Ground" law got new, worldwide attention after George Zimmerman cited it after he shot and killed Martin in Sanford.

Those in attendance at Tuesday's task force meeting made clear that the law is broad in its language, "when and how" it should be applied wide open.

"That language is confusing, and it definitely based on what we discussed. Police officers, when investigating a case, have a much broader array of circumstances that they must consider whether or not a shooting is justifiable," said Krista Marx, Circuit Court Judge 15th Circuit.

Repealing or reforming the law would be a major move, if that's what the task force decides.

Zimmerman claimed Trayvon Martin attacked him first, but state prosecutors have charged him with second-degree murder.

That charge, however, did not come immediately, because of one interpretation of "Stand Your Ground" -- that he had the right to use deadly force if he reasonably believed he was in fear for his life.

But while the task force was created in light of the Trayvon Martin shooting, it will not focus exclusively on the Zimmerman case.

"I didn't want the task force to be a trial of the Zimmerman-Martin case," said Florida Lt. Gov. Jennifer Carroll, who is leading the task force. "This task force has to look at public safety and citizens' rights: Has it been fairly administered across the board? Do we need to fine-tune it, make some changes?"

Carroll was one of the lawmakers who supported "Stand Your Ground" when it originally passed in 2005. Now, she's giving it a second look, this time with a critical eye.

Also on the panel are law enforcement agents, including Orange County Sheriff Jerry Demings, as well as homicide detectives, public defenders, prosecutors, defense attorneys and community leaders from around Florida.

Judges from around Florida are also on hand in Longwood. One of them, Circuit Court Judge Krista Marx, from Palm Beach County, explained the sort of language "Stand Your Ground" contains. She said it's broad and widespread, making it somewhat confusing for law enforcement when it comes to charging someone with murder or manslaughter.

"Police only arrest when and if there is probable cause for an arrest," said Marx. "But it has become more complicated for law enforcement to determine if a killing was justifiable, because 'Stand Your Ground' expands the circumstances where killing may be justified."

George Zimmerman's attorney, Mark O'Mara, has previously said he wasn't sure if he will even use the "Stand Your Ground" defense.

O'Mara said he first needs to see all the evidence before he makes a decision, and another round of the state's discovery has yet to be released.