No matter the jurisdiction there are 4 (and in some places 5) elements of self defense you must satisfy to claim legal self defense in a deadly force incident.
Innocence - you cannot be the aggressor
Immenance - the threat must be in the moment, not some theoretical future threat, or a threat that has retreated.
Reasonableness - you must have a subjective belief that you are facing deadly force harm, and an objectively reasonable person must agree with that assessment
Proportionality - you cannot use deadly force in response to non-deadly force.
Avoidance - in some jurisdictions you must show a good faith attempt to retreat and avoid the situation. Thankfully there are only a few states that require this.
Many states give a statutory presumption of the first 4 elements when facing an invasion of your home or vehicle. However, there are definitions of invasion that must be satisfied to invoke those presumptions. This case will probably hinge on whether or not the teens actions gave the homeowner those legal presumptions of lawful self defense.