Please help me save my tree. Something is happening with leaves. Some of very young leaves fall of. I have a small fig on it, it was growing fast and stopped. here the pics..      

I'm assuming you live in a cold zone.  If you're growing these indoors, the fig will not make it.  Go ahead and remove it, as it's robbing energy to the roots and leaves.  If this plant isn't getting enough light, the leaves will be a pale green and may fall off (assuming it's getting the right amount of water).  It could be a number of things, but you really need to explain the environment before we can be of any help.

Also, welcome!

Wow, you're genius. I did buy this tree on ebay I think from somewhere in Virginia. I thought I could keep it inside during winter and outside during summer. It is by the window, but we don't have much sun during winter, I am in Springfield, MA. So, what should I do with it? If it will die anyway, may be I should sell it on ebay quick, I don't want it to die. It has one fig on it, looks very cute.

I also bought two other, but they are I think can take cold. Their leaves are much darker and thicker than the one from Virginia. Is it ok to keep these two inside during winter? 

Up in the right corner there's a search link.  Put "overwintering" in and happy reading. Welcome :)  

Welcome

Welcome to the forum

Thanks very much everyone, I will consider all your comments