To begin, I will ignore the failed use of the ellipsis between the title and your first sentence. Your first sentence should not end in a question mark. There is no question in "I've started to write more recently and I want to know what are some tips my coli writers would want to share on becoming better writers". That is at best a few thoughts merged into one, and at worst a terrible run-on sentence. It is a question in neither case.
Next, "I want my punctuation better" is off. The word "punctuation" is a noun and "better" how you are trying to use it is a verb. You need to change it to an adverb by adding a different verb/verb statement. You wouldn't say "I want my computer better" you would say "I want my computer to process better". Similarly with this statement, "I want my punctuation better" you would say "I want my punctuation to be written better" which is awkward in itself, so you would change it to "I want to find ways to punctuate my sentences better".
Further, "Especially, for the songs that I'm writing" is not a complete sentence. It is the predicate for the thought before it. It should read "I'm pretty good with spelling but I want to find ways to punctuate my sentences better; especially for the songs that I'm writing"
Lastly, by ending your last sentence with "like" it immediately becomes a fragment. End that sentence after "mixtape"
Those are tangible tips on how to become a better writer with the sample you've provided.
Here are some generic tips:
Don't throw in words just to throw them in. Don't use "thus" just to say "thus". It sounds silly. Keep it simple.
Learn to form complete thoughts. This doesn't mean that you aren't already, but be more concise. Make each sentence a singular thought before trying to have elaborate sentences, especially if you aren't confident in your punctuation.
Start with retelling. Retelling is powerful because the "story" is already written. An easy way to learn how to write eloquently is to just retell things that have already happened. Write about your day, write about your last hour, write about your favorite movie, etc. If you can learn to retell incidents more eloquently and clearly, it will become more natural when creating your own fiction or stories.