When I play, I sorta rest my hand on the low E. It gives me better accuracy. But when I have to use the low E, sometimes I mute it accidentally.

Should I correct this?

If so, is there any methods to help this habit, or do I just have to practice not doing it?
Just practice not doing it.
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yeah, though it can be useful for when your playing some stuff that makes string noise.
Like everyone else said... just practice no touching the neck with you palm at all. You'll get used to it. I used to do that to... still do sometimes
I knew which one you were talking about. I did the same thing when I first started out. It was easier to hit the chords.