It’s a bit more complicated than all this. 

What you were missing at home was real - the familiarity, the love you and your family have for one another in spite of the latent pain, anger and resentment. Those are really serious, searing losses, and when you move abroad, while you do immediately get the relief of leaving behind the pain, it takes a VERY long time to build up again a sense of a new home, familiarity, and connection to the new place. 

The difficult part is that before you move abroad, you don’t realize that what is making tolerable and mitigating whatever difficulties you have in your home country are all of the good things you have there. Of course it doesn’t feel that way because, on net, you want to leave, which makes it feel like the good things barely even register.

But when you get to this new place, while you leave behind what was, on balance, a net negative, you serve in a place that will, over time, present its own difficulties, and only time will tell where things net out. And as a rule, the challenges present faster than the good things to balance them out because the challenges face you immediately - language, transit, cost, work, cultural rules, bureaucratic rules, etc. At first you can reach for comforts - food, music, nature, alcohol, etc to tide things over while you wait for the more durable goods like friends, passions, hobbies, financial stability, meaning, to percolate — but you really in the meantime need to rely on hope, on faith in yourself that your intuition that moving was right was in fact the best choice.

So in this transition period, where you don’t yet have the goods, you of course rely and depend on what you had from home via social media, texts, phone calls etc. But it’s not really until you get back home for a visit that you can fully grok all the context that came with those goods that made it feel like it wasn’t worth it to remain there.