People often say that as long as a vocalist conveys emotion, it doesn't matter so much if they don't hit the notes. I've never subscribed to that, I want to know how the song goes ! And so for me, the most important thing a singer can do is actually sing the song. Now I don't mind if the odd note here and there is not 100% there, but that of course, depends on where that slightly not quite there note falls. I don't care if the lyric is heard or the words are clear.
In the clip you posted, you satisfy the base requirement which is to convey the tune. Everything follows from there. I'm not the definitive judge of emotion so for all I know, you might be giving it all the emotion you can muster. Or you might just be musically reading words on the sheet.
It appears that you can sing and that you can hold a tune fairly well. I say "it appears" because this part gives me pause;
I forgot to mention I used a mild bit of realtime pitch correction. It has very slow attack and 70% mixed. I wanted the vocals to be as real as possible.
I've never used any kind of pitch correction {and have always gotten on my high horse about it !} so I have no way of knowing to what extent it may account for your sound. It would be so much clearer if you could post your voice
without it. Now, don't get me wrong, I'm not saying that it is what makes your voice sound in tune; I'm not saying that because I don't know that. I can't know that unless I hear you on the same song without any correction. If you want the vocals as real as possible, then let's hear them without correction.
I usually search online for good techniques, but if you know of any particular technique that will help me fix my problems please share it.
Two things occur to me; one is to sing as many different kinds of songs as possible. Fast ones, slow ones, ones with great leaps, those that don't move much but demand concentration, chants, high notes, low notes, different genres. Even Christian popular music has been around for over half a century and many different genres can be found there.
The other thing is, if at all possible, to practice with a keyboard or guitar. You don't even have to be able to play an instrument. Start on the lowest note the instrument has {or as low as you can go} and sing that note until you are comfortable with it. Then move to the next one. And so on until you are as high as you can comfortably get. Sometimes as you go up, suddenly change and go down the notes.
You could also try a good breathing exercise; breathe in through your nose for 8 seconds and collect as much air in your stomach as you can {you should feel your belly expand as the air goes in} and hold the breath for 8 seconds. Then force it out in a controlled manner through your teeth, kind of hissing. The object is to get every breath out within 8 seconds. Don't leave any breath there, it's all got to go. When you can do that, then extend the breathing out to 12 seconds, then 16 then 20 then 24. That'll help you with breathing control which will then help you with holding notes.
That's something to start with !