Re option 1: I'm assuming it's like when Arthur Dent learned to talk to birds.

[Arthur Dent] learned to communicate with birds and discovered that their conversation was fantastically boring. It was all to do with wind speed, wingspans, power-to-weight ratios, and a fair bit about berries.

Say some phrase in Khitan, then teleport. Become a world-famous magician as no one would believe you're actually teleporting. The Khitan is for the show. Also drive all those people trying to debunk your trick insane.

Plus it'd be incredible for heists, there's no mention of a cooldown so just spam it and piston-translocation glitch your way through some complex.

You im gonna do some jojo shit with number 2 and 3. You can drown anyone with gravel or silently kill them by making it appear in their body(lungs, veins, etc). You can also use it as an armor. And with teleportation you can do a lot of small teleportations fast to badically travel with sny speed. And depending on how teleportation is defined you can do op stuff with it.

3 and 7. With 3 you can essentially walk through walls, and with 7 you will know exactly which boxes you don't need to check when looking for something.

3 - It doesn't say it has a cool down so you can just spam it and go insanely fast

7 - It will be pretty useful in game shows. You can take a look inside a deck of cards and their order in their box. You know those "find the pebble in the right cup" street hustlers.

I pick 5 to make infinite money.

Step 1 - Buy some used toasters

Step 2 - Rebrand and sell those toasters

Step 3 - Make every toaster that isn't mine fail catastrophically

Step 4 - PROFIT!

3 and 7

I assume you can chain teleport and thus move pretty fast. Seeing that a container is empty can be useful I imagine.

speaking an extinct language would actually be realy cool and I could teach it to others.

Easy. 1 and 5.

1 - "Hey friends. Who's had an itchy grain of sand stuck inside? If you open wide I can take it out and put you back.". Profit.

5 - Insurance fraud by burning down vacant homes through "faulty wiring" then suing the manufacturer.

Where does the nose grow?

I at least like the toaster if we assume instantaneous faster than light control. If I can sit and watch a feed of stocks and toggle a buy/sell toaster hooked up to the stock market 250 ms away, I can pretty easily beat the market and make money.

Similarly you could use the empty container rule to have someone communicate with you by toggling the empty state of a container. If you sense/not sense the container you have a reliable binary communication channel and Morse code is pretty viable too. But it's probably best for a predetermined action because you're racing the latency of light here and we're not multiplanetary yet so you've only got hundreds of milliseconds margin to work with. Unless you contract with NASA or anyone yeeting things into space. Build an instrument that can Morse code via empting/filling a container and suddenly voyager can send us instant communication. Combine it with a set of control toasters and that's pretty valuable too.

Teleportation: is there a cool down? Because most places can be teleported to in increments of 7 inches if I can chain them.

Khitan and gravel, khitan would be a boon for linguists and i could help them document it until other people can learn to speak with me, and free gravel could be used to pillar up to places if done fast enough and could potentially clog things

I would probably would go with 1 and 6. I read an article awhile ago they were used to detect quality of water. I would have the ability to further interpretate what is wrong with the water by talking to the oysters. Might make money along the way and save people/ environment at the same time. As for 6 well is for obvious reason.

3 and 7

3 could save your life if you get trapped inside your car.

Knowing containers are empty can be valuable.