Lately I haven't been able to sleep, eat more, and just want my family home all the time-is this depression?

Likely. And you seem to have some anxiety mixed in. Why not have a psychiatric checkup as treatment is available.
Possible. Depression can have many symptoms, including poor sleep, change in diet, weight changes, lethargy, tiredness, tearfulness, anhedonia (lack of pleasure), and many other symptoms. One does not need all of these symptoms, but the more one has, the higher the probability of depression. It is strongly recommended that you see your family doctor, internist or psychiatrist to confirm your symptoms.