What sort of definition of love would that be? "liking" and "miss you" 

Do good parents like changing dirty diapers at 3:30 in the morning?  Is that why they do it?  Because they like changing diapers?

Since when is "liking" something a solid moral criterion for doing them?

We should do things because of the love of God. 

I think these motives you raise are the stuff from the 60s.  

And secondly is 'being missed" a reason for staying or going?

Letting that influence one's actions is the vice of vanity.

I stay because there are people here who I love greatly and want the greatest good for them.  I'm happy when they spit in my face and act like 6 year olds ("no one will miss you if you left"); I unify my efforts with Jesus Christ on the Cross. 

It wouldn't be love to leave, it'd be vanity or the search for ease/consolations.

Those are low motives, not fitting of a child of God. 

I stay for others, to perhaps convince them to let go of 50 year old resentments that they nurse.