There are many threads on this forum about songwriting. Search for them and peruse.
As George Bernard Shaw said. "The Golden Rule is that there are no Golden Rules". But then he was by then a master at his craft.
On the subject of rhymes - there are many alternatives to what rhyme does. It punctuates in a way that readers just don't, or the readers/singists punctuate as they see it. Rhyme forces the listener to override the singer. You need punctuation and commas and full stops just don't translate. The music - if you are skilled - will puntcutate also. If only you sing the song then you can control it. Punctuation gives the listener time to think - and they need it. And remember - what the listener takes from the song is what they want to hear. If you want to guide them you have to help them. Rhymes are satisfying and can be predicted - giving the listener more time to understand.
Alternatives? Anaphora - repetion of a word or phrase. near rhyme, aliteration, and the mother of all anaphora - chorus.
If you can't rhyme all songs fully you are missing-out on a big starter pack of easy songwriting.
Sometimes it is better to telegraph the rhyme by making it so obvious and then refuse it - like naughty words in a humorous song.
I would counsel you to use rhyme more for a while and see what happens - then you have a choice of skills.
Most of all - if you just dun gotta write that song - do it. It is the over-riding wisah to compose that is the most important - if it is the money you still just dun gotta write the song or it will SHOW in the result.