Does the off-hand gauntlet of the Guardian Artificer gain the bonus Intelligence modifier?

I’m trying to figure out in D&D 5e if an Artificer, choosing armorer and guardian, can add their intelligence modifier to attack and damage rolls with their off-hand gauntlet.

Each model includes a special weapon. When you attack with that weapon, you can add your Intelligence modifier to the attack and damage rolls.

Thunder Gauntlets

Each of the armor’s gauntlets.

Would the off-hand gauntlet be considered a part of the special weapon mentioned in the first quote to gain the bonus?

How does off-hand spellcasting with two implements work?

With the Dual Implement Spellcaster feat, you can add the off-hand implement’s enhancement bonus to damage rolls.

1) What if you cast a spell with the off-hand implement? Do you get nothing from the main hand implement?

2) Is it even possible to cast a spell through the off-hand implement or do you have to designate one of your hands as your main hand and hold the implement you use in that one?

Does the distinction between left and right hand matter when making an off-hand attack? [duplicate]

Clara the Fighter finds herself facing a huge undead, the Frost Giant Skeleton. She attacks twice with her scimitar, and again with her light hammer! The undead reels back as it takes bludgeoning damage, which it is vulnerable to!
On her next turn, can Clara make the Attack Action using her light hammer instead of her scimitar without switching hands?
Here’s the breakdown (assuming all attacks hit):

Turn 1
Action: Attack (scimitar, right hand) = 2 x (1d6 + Str) slashing
Bonus: Off-hand attack (light hammer, left hand) = 1d4 bludgeoning, x2 because of vunlerability

Turn 2
Action: Attack (light hammer, left hand) = 2 x (1d4 + Str) bludgeoning, x2 because of vulnerability
Bonus: Off-hand attack (scimitar, right hand) = 1d6 slashing

Is the above allowed?

Are monks only allowed to use non-unarmed weapons as off-hand when two-weapon fighting?

Do the special rules regarding monks’ unarmed strikes prevent monks from using unarmed strikes as off-hand weapons when using two-weapon fighting?

The monk class’ unarmed strike section states:

There is no such thing as an off-hand attack for a monk striking unarmed.

The context of this is dealing with 1x vs. 1/2x strength, but as a side effect, does it mean a monk must use a weapon rather than an unarmed strike when using two weapon fighting to generate more attacks per round?

Two-weapon fighting states:

If you wield a second weapon in your off hand, you can get one extra attack per round with that weapon.

It then states later on, confirming that unarmed strikes may normally be used:

(An unarmed strike is always considered light.)

Armorer Artificer Off-Hand with Power Armor?

OK, so the armorer artificer (UA) specialization states:

Lightning Launcher. A gemlike node appears on one of your armored fists or on the chest (your choice). It counts as a simple ranged weapon, with a normal range of 90 feet and a long range of 300 feet, and it deals 1d6 lightning damage on a hit. Once on each of your turns when you hit a creature with it, you can deal an extra 1d6 lightning damage to that target.

Page 195 of the PHB states:

When you take the Attack action and attack with a light melee weapon that you’re holding in one hand, you can use a bonus action to attack with a different light melee weapon that you’re holding in the other hand. You don’t add your ability modifier to the damage of the bonus attack, unless that modifier is negative. If either weapon has the thrown property, you can throw the weapon, instead of making a melee attack with it.

(emphasis mine)

This, to me, implies that the artificer can use a shield, have his gem-node on his chest attack, and still has a hand free for an off-hand thrown weapon attack (as long as it’s a simple weapon). The fact that one of his infusions can allow boomeranging thrown weapons make this viable if, you know, it’s viable.

Anyone have any insight?

What would using staff in main hand while using a light shield and rod in offhand entail?

Is it possible to use a Light Mithril shield +5 (I believe I can enhance shield?) in my offhand and a rod of (metamagic or absorption) in the same hand and still receive the AC bonus from the shield?

In my main hand I plan on having a staff or wand while rod and shield are in offhand. Would having these items in hand interrupt my casting of regular spells?

I’m playing an oracle/sorcerer, so components aren’t an issue.

Then if the rod of absorption/metamagic is used to block a spell or enhance spell would this disregard my shield bonus until next turn, similar to using the shield to shield bash?