Sorry to hear how down you are feeling since emigrating, it's a massive change in lifestyle that you have made so you are bound to have a few wobbles, which i believe is only natural. Sometimes i think it's easy to think the grass is greener on the other side, no matter where in the world we are, idealizing a place/life can offer hope and a form of escapism from everyday life, but making the actual change in reality is often very different...:unsure:
I read something the other day which i think kind of sums up for me, some of the unusual feelings people might experience when emigrating, it's just distinguishing between what is home sickness and what is a real, genuine desire to return to the UK before deciding to act on it...
"When we make a change, it's so easy to interpret our unsettledness as unhappiness, and our unhappiness as the result of having made the wrong decision. Our mental and emotional states fluctuate madly when we make big changes in our lives, and some days we could tight-rope across Manhattan, and other days we are too weary to clean our teeth. This is normal. This is natural. This is change."
Hopefully you don't have to make such another big decision so soon? i'd say take some more time before you make any definite decisions, hope things work out for you & your family.