Getting technical with the wording, my interpretation would be as follows. Both Teleportation Circle and Drawmij Instant Summons would work, I don't think Leomund's would.

Teleportation Circle: Casting into the object would require you to draw the circle with a 'particular' destination in mind since you are required to expend the components to put the spell into a ring of spell storing.

Later when you activated the ring, 'a shimmering portal' would open up within that circle that you drew. Limited use in my opinion, but by raw wording that's my interpretation.

As you cast the spell, you draw a 10-foot-diameter circle on the ground inscribed with sigils that link your location to a permanent teleportation circle of your choice whose sigil sequence you know and that is on the same plane of existence as you. A shimmering portal opens within the circle you drew and remains open until the end of your next turn.

Creating the circle to a specific destination is part of casting the spell. The actual portal that appears is part of activating the spell.

Drawmij Instant Summons: In my interpretation this works off of the same concept. You have to present the sapphire at the time of casting the spell into the ring. The spell is put into the ring. When you activate the ring, the magic triggers thereby putting an invisible mark on the item you touch at which time inscribes the name of the item onto the sapphire regardless of where it's at. This is only true because of the wording of the spell.

You touch an object weighing 10 pounds or less whose longest dimension is 6 feet or less. The spell leaves an invisible mark on its surface and invisibly inscribes the name of the item on the sapphire you use as the material component

You used the sapphire at the time of casting the spell into the ring.

Leomund's Secret Chest While both items are considered material components that could be ignored by a ring of spell storing. The spell explicitly calls out in the spell description that you must touch both the chest and the replica.

You hide a chest and its contents on the Ethereal Plane. You must touch the chest and the miniature replica.

(I'm pretty sure 90% of spells with gp cost don't do this). As such this is a case of the specific text of the spell ultimately preventing the spell from being used by any of the above magic items you've listed without also having the item at the time of casting.

Practical Uses

Uses Of the three Drawmjii's has the most practical use:

• Discreetly marking an item for later 'procurement'.
• Discreetly marking an item an enemy is wearing. Crush the sapphire and learn 'who' they are. Essentially weed out an alias.
• Discreetly marking an item an enemy is wearing. Crush the sapphire and learn 'roughly where' they are. (This has no plane restriction.) Used correctly this could simply be used to track down an enemy hideout/base or just keep the hunt going for a person that has escaped.

If another creature is holding or carrying the item, crushing the sapphire doesn’t transport the item to you, but instead you learn who the creature possessing the object is and roughly where that creature is located at that moment.

Logical Reasoning My interpretations are based on RAW readings of the spell and ring. You could of course house rule an option to magically transport the components into a ring. But that would have to be universal to all three to be concistent.

No

According to Sage Advice, you must use a spell slot to cast a spell into the ring. Racial spells do not require or even permit casting them using a spell slot.