Just a heads up, I am not really going to judge it to much since I don't make that type of music or listen to it that much, but I will still say what I think. Well I just listen to rap sooo yea who I am I to judge music I don't listen to but I guess I can still say my thoughts.
IMO this is not rap, I rap and I don't think this is rap I think its like ummm rock? I know what you ment by rap+Rock but it still sounds like rock because now days rock rhymes almost like rap does so I still thought of this as a more rock song over rap. Basically it sounds like the type of songs I hear nickle back ect on the radio and they are considered rock ain't they?
Anyways how long have you been writing/or singing or whatever. You said do you have potential.... you see there is a problem when you ask people that because not all people are bright. Take a guess which rapper SUCKS MAJOR DICK before they were good??? Take a guess who I am about to say? Oh I got proof too.... EMINEM...... yes Eminem ONCE sucked. If you don't believe me you can look up his oldest songs that you can find, this is songs OLDER Than anything he has released.
This was the test that I did : I played those super old eminem songs where he was crap and nobody could tell it was him.
I ask them the question : Does this rapper suck? Most people said YES some said ehhhhhh its not the greatest.
Then I tell them..... you do realize that is Eminem? Then people get shocked.
Thats why I say alot of people can start off bad but become insanely good to the point its almost a different person. This takes years though.
So this is why I hardly ever tell someone that they should just give up because that would almost mean people who used to suck would not be famous right now if they just gave up.
My thoughts are - I can IMAGINE it better, meaning that based on my imagination I believe that if you had someone teaching you how to record/sing ect that you would sound 100x better than this. I noticed that some parts of the song your rhythm aka flow was off a bit, I'm sure you can tell... its some of the parts where you didn't say a line perfect with the rest, but its okay because in my mind I know how its SUPPOSE to sound, you see some people like me can THINK of what it would sound like other people just see work for what it is instead of thinking how something WOULD sound if that person recorded a different way ect.
My opinion is that, its not that bad but it doesn't sound the greatest BECAUSE of how you recorded but again I told you that you can sound better because I can imagine how its suppose to sound in my head since I record shit. Basically I think you need more voices on your voice and it would sound better but its annoying because you have to match your voice up perfect each time.
Its called vocal stacking which means you record your verse, then after you recorded it you record IT AGAIN so that when you have more than one voice it makes your voice sound bigger or better, sometimes the instrumental makes your voice sound weaker so you have to do this. Basically its like you have 4 voices going on at one time but you can turn the volumes down so that it seems like one voice.
Also to me it seemed like you were holding back a bit, I can imagine that you can put some more emotion or something into it, it felt like when I used to rap 85% of my best until I actually get 1000% in the mood then I rap with more emotion.
So to answer if you should continue : I say yes, depending on how long you have been at it already. I say depending on how long because if you have been doing it for 20 years and still sound the same then obviously you would be doing something wrong. I assume you haven't been dong this for even 6 years yet so my advice is.
#1 When recording make sure flow is on point - its hard to do when you get out of breath or screw up at the very end but its best to just keep re-doing it until there are no mess ups and every line is perfect.
#2 I personally think you could put more emotion or sing stronger because to me it felt like you were holding something back other wise I would not imagine it sounding better in my head.
#3 -If you buy better equipment then you can make your voice sound better, and if you learn to stack vocals/mix ect all the hard shit that nobody likes doing you will sound even better.
Don't give up unless you think its not for you or its actually that bad, because alot of people who are famous used to suck some D.
This is my ghetto response but its better than what anyone else gave you so far lol
Lol kidding aside, I produced this song and I wanted to rap over it.. Mainly for fun since it was recorded on a USB mic. Eh, but I was wondering if I had any potential before I invested in a real mic and audio interface. The chorus was sampled so ignore that. My style of music I kinda want to be a cross between rock and rap. So I try to incorporate live instruments into my songs. Anyways, yeah or no? Lol don't worry, I have thick skin... No feelings will be hurt. 
