It is read:
まき と ちゃっかざい を つかう。
Breakdown:
Here, と means and.
So 薪と着火剤 means firewood and fire starter.
This use of と connects nouns in a complete list.
Because 使う is a transitive verb, meaning it takes a direct object.
The thing being used is marked by を:
So を marks what is being used.
Yes, と can also mean with, so this is a very common point of confusion.
Here it means and because it is simply joining two nouns into a list:
Compare that with:
So と can mean different things depending on the sentence structure. In your sentence, it is the listing and particle.
着火剤 literally means something like ignition agent.
In natural English, it is usually:
It is something used to help start a fire.
It is not exactly the same as kindling.
If you specifically mean small sticks or material used to help catch fire, Japanese often uses 焚き付け（たきつけ）.
So:
The subject is omitted, which is very normal in Japanese.
Depending on context, this could mean:
Japanese often leaves out the subject when it is obvious from context.
使う is the plain form, also called the dictionary form.
It is commonly used in:
The polite version would be:
Both are grammatically correct. The difference is politeness and style, not basic meaning.
Good question. Both can connect nouns, but they are not the same.
So:
With や, the listener understands that other similar things may also be included.
Yes, you can.
Both are grammatical and mean essentially the same thing.
Changing the order may slightly change emphasis, because the first item can feel a little more prominent, but the basic meaning stays the same.