Yes, the Leapers Armorers wrench will work with the Aero Precision BAR barrel nut.
The Leapers UTG AR15/AR308 Armorer's Multi-Function Combo Wrench might work for that barrel nut. However, the Leapers UTG AR15/AR308 Armorer's Multi-Function Combo Wrench has a barrel nut wrench designed to work with the UTG PRO Super Slim Free Float Barrel Nut. This barrel nut is a proprietary barrel nut and the manufacturer does not give information regarding its specifications. I recommend contacting Leapers UTG in regards to the compatibility of your barrel nut and the Leapers UTG AR15/AR308 Armorer's Multi-Function Combo Wrench.
Yes it should work, as Leapers states that:
• Provides the Means to Install and Remove Parts Often Replaced and or Reinstalled on Both the AR15 and AR308 Platforms such as: Standard A2 Flash Hider, Delta Ring Assembly, Rifle Length Buffer Tube, Carbine Buffer Tube Castle Nut, and More
• Equipped with UTG PRO Super Slim Free Float Barrel Nut Wrench and Compatible with 1/2" Torque Wrenches
• Includes a 3/4", 7/8", and 3-Prong Wrench Slot for Installation and Removal of Most Muzzle Devices and 3 Prong Flash Hiders
• Includes a 5/8" Wrench Slot and Flathead Screw Driver for Installation and Removal of Rifle Length Buffer Tubes and Fixed A2 Stocks, as well as, a castle and jam nut wrench
Yes, the Leapers UTG AR15/AR308 Armorer's Multi-Function Combo Wrench work with both the AR15 and AR308 platforms and can replace or install A2 Flash Hiders, Delta Ring Assembly, Rifle Length Buffer Tubes, Carbine Buffer Tube Castle Nut, and More.
Yes, the Leapers UTG AR15/AR308 Armorer's Multi-Function Combo Wrench should work fine with the Aero Precision M5E1 barrel nut.
The Leapers UTG AR15/AR308 Armorer's Multi-Function Combo Wrench is designed to work with the Leapers UTG Super Slim Handguard Barrel Nut. From what information I could find the barrel nut for the Sig M400 Tread can be removed using a Standard AR15 Barrel Nut Wrench so I recommend using the one at the link below.
https://www.opticsplanet.com/magpul-armorer-s-wrench-accessory.html
Yes, the Leapers UTG AR15/AR308 Armorer's Multi-Function Combo Wrench will work for changing out muzzle breaks on a Sig M400.
Yes, this will work with any mil-spec buffer tube.
No, this will not work for that compensator.
Leapers states that :
• Provides the Means to Install and Remove Parts Often Replaced and or Reinstalled on Both the AR15 and AR308 Platforms such as: Standard A2 Flash Hider, Delta Ring Assembly, Rifle Length Buffer Tube, Carbine Buffer Tube Castle Nut, and More
• Equipped with UTG PRO Super Slim Free Float Barrel Nut Wrench and Compatible with 1/2" Torque Wrenches
• Includes a 3/4", 7/8", and 3-Prong Wrench Slot for Installation and Removal of Most Muzzle Devices and 3 Prong Flash Hiders
• Includes a 5/8" Wrench Slot and Flathead Screw Driver for Installation and Removal of Rifle Length Buffer Tubes and Fixed A2 Stocks, as well as, a castle and jam nut wrench