You have a guitar strum pattern that is, well, uninspiring - dum-de-dum-de-dum. It's very basic, but this brings forward the fact that the down beats - your down strums in most cases are NOT consistent. They sometimes come early, sometimes late. The result is the tempo is gently flowing but it's rhythmically horrid - loose, the jazzers would call it, but loose in a beginners guitar playing way. When the other guitar comes in at 1:07, it does it's own version of hitting the rhythm and the two together fight like cat and dog - drawing attention away from the words, which also come ahead or behind the real beat. If you really cannot detect this by ear, you have a problem. Have you looked at the voice, guitar 1 and guitar 2 waveforms on the screen, stacked above each other and looked for where they are at the same time. Normally with a few instruments on the go, you can see matching peaks and troughs? This, even if you cannot hear it, might help you see how awful your rhythm keeping is. Learning to play to a click would really move your singing and playing on. One feature that military musicians have is an ultra sense of rhythm. If you hear a military band trying to play 'normal' music. Have a listen to this track
They have the exact opposite problem to you - then cannot loosen up and swing a bit. They have been taught to play with as much precision as they can. Accuracy is everything. I've played with a couple of military bands - we were the house band and had a big Military band in the show and the Director decided we would all play in the finale, and it was without doubt the most terrifying performance ever. Reading the music was not hard, in fact, it should have been easy. What we didn't have was their ability to play precisely, and their conductor could bore holes in you with his stare. When it came to swinging, they couldn't do it at all!
Practice with a click will really improve your playing.
Last thing - your voice is horrible dissonant at 2:18 onwards. I don't know what note you were aiming for - but it seems to be the wrong one?