Im not a poet and I know it

I have been studying, writing, hearing, and reading poetry since probably the 1st grade when I started learning nursery rhymes. Since then I have failed at the one thing a good poet must have, Rhyme. I am a horrible rhymer (is that a word?) it is one of the reasons why in my poems I use a technique that I learned in the 8th grade, to end each line with an important or impacting word, and it has gotten me pretty mediocre grades so maybe rhyme isn't so important. But all the famous poetry seems to have rhyme so I guess its an art i have failed to master. In the poem "The Possibility" the first thing I noticed, you guessed it the rhyme!  In each stanza the second and fourth ending word rhyme, they make the poem flow in the direction the poet intended it to be. The rhyme is not the only thing that was noticed, in the second to the fourth stanza the same word in the beginning of each stanza is also in the last line of the stanza before it. For example, stanza 2 line 4 " It was not beautiful to me"  Stanza 3 line 1 "I know that work is beautiful" Stanza 3 line 4 "Of squandering my solitude"  Stanza 4 line 1 "And solitude was beautiful"  These two things stood out to me because everything written in this world has a purpose every word, punctuation point and space has impact in the authors eyes so there must have been reason for this to have occurred, but my literary knowledge is short lived, so any thoughts? :)