What kind of bike rack can go with this bike? I'm looking for a bike rack to put on my bike so that I can hookup the baby seat with the bike. However, I don't see anywhere on my bike where I can mount the front bracket arms of the rack to it (please see pic.1). There is place to mount the lower arms, though (as shown in pic.2). Pic.3 shows the whole bike.

Do you know which bike rack can go with this bike?
Your bike looks like it comes equipped with a full-suspension frame, and the suspension mechanism is located where one would usually attach the rack stays. This will make attaching a rear rack extremely difficult, and almost certainly less secure. 

I don't recommend attaching a rear rack to this bike, particularly not one that will be holding a child seat. 

Instead, you could look into a child trailer. (For more information on child seats compared to child trailers, have a look at this answer.) Please note that pulling a trailer with any full-suspension bike can cause problems (see the comments).