The most expensive things I've spent money on are archery toolsupplies. The most expensive things I've spent money on are archery supplies.

"tools" isn't very bad here, but supplies or gear or equipment fit better. A tool is something very... productive. You use it to accomplish a useful task. A bow could be a tool - if you are a hunter, you might say your bow and arrows are the tools of your trade - but "archery tools" in this sentence sounds more like you mean sets of wrenches and pliers that you use to adjust your bow, something like that. "were archery supplies" might be better, but present tense is okay.

I had playedid archery for five years. I did archery for five years.

If you were talking about a specific time you bought something, past perfect would be okay. "The most expensive thing I ever bought was a bow. When I bought it (on that specific day), I had done archery for five years." Although it would be more natural to say "had been doing archery". But I think you just mean "There were five years of my life where I did archery, and during those years I bought many things." Simple past is what you want for that. "did archery" seems most natural to me, but you could say "competed in archery" if you want to emphasise it as a sport. "played" sounds strange.

The toolsupplies were expensive because they were made of carbon or aluminum alloy and required high accuracy. The supplies were expensive because they were made of carbon or aluminum alloy and required high accuracy.

Additionally, the limbs, which are the upper and lower parts andthat bentd to shoot an arrows, neoften needed to be change due tod with my drawing power. Additionally, the limbs, which are the upper and lower parts that bend to shoot arrows, often needed to be changed with my drawing power.

I think you mean this. Matching tense "needed" since you're talking about your actions in the past. "due to" is okay but to be clear it should be something like "needed to be changed due to changes in my drawing power" - talking about them changing *with* your drawing power is a natural way to express the idea.

Arrows for competitive use are made of an aluminum core and carbon fibers. Arrows for competitive use are made of an aluminum core and carbon fiber.

Sometimes I shot an arrow on another arrow, and breakoke it. Sometimes I shot an arrow on another arrow, and broke it.

Needs the change for past tense, but this sentence is okay. It's a little awkward, though. Would be nicer to say something like "shot an arrow through another arrow" or "hit an arrow with another arrow".

One arrow costs about 45 dollars, and onethey come in package is onef a dozen. One arrow costs about 45 dollars, and they come in packages of a dozen.

Much more natural way to say this.