I have two questions involving muting.

1)  I do a bend upwards for 1 step, but there is not a corresponding downward, so I need to mute while the note is one step high.  What is the best way to do this?

2) I have a chord, 2nd finger on D, G is not played and B and E (high) are open. I don't what to do with that non played G?

Thanks..