Trigger guard and safety selector
I would recommend reaching out to Geissele directly as they do not provide specific material specifications for each individual component. Their contact info can be found linked below:
https://geissele.com/contact/
The Geissele Ultra Duty Lower Parts Kit is designed to Mil-Spec lower receivers. So yes, the Geissele Ultra Duty Lower Parts Kit will fit a LaRue Tactical 5.56 lower receiver.
The Geissele Ultra Duty Lower Parts Kit has everything you need to install the trigger guard. The trigger guard has an installed push pin that is used to hold it place along with the supplied trigger guard rear pin.
I cannot confirm the degree of the throw. You would need to contact Geissele to confirm. "Our Ambidextrous Super Configurable Safety, which features the ability to easily and securely swap and exchange the safety levers plus provides the end user a satisfying and positive tactile feedback when the safe or fire position is engaged."
No. AR 15 only. You will want to look for a kit that is made specifically for an AR 10.