Probably you didn't clean its cage.
No, if you clean their cage regularly. Most of Syrian hamsters will use one corner in their cage as a toilet, which makes cleaning easier. Female Syrian hamsters will often smell more when they are in heat.
If the female hamster is not on heat they will not mate, so just separate them until they're ready.
No, there has to be a male so the female can get pregnant.
No, unless the "big hamster" is the baby's mother. However if you touch the baby hamsters the mother sense your smell and the mother could eat or kill it because of the smell. So don't touch the baby hamsters.
well usually when you have a pregnant hamster housed with a male hamster, the female will fight him visously until death. However once her babies are born, the male will eat them! So after you mate them, separate the 2 immediatly.
only MALE HAMSTERS LICK FEMALE HAMSTERS SCENTS "I KNOW THAT BECAUSE I HAVE A MALE HAMSTER & A FEMALE HAMSTER".
the pungent smell might be a condition called wet tail if so you should check the bottom of your hamster and if the back area is wet and covered with feces you should take your hamster immediately to the veterinarian.
No A hamster is a mammal and needs the oposite sex to become pregnant
Actually it's the other way around the male has more dominance over the female so therefore they are naturally bigger.
Yes you can.Carry and hold it as much as you want,Just make sure you wash your hands first so it won`t smell food on you.
enough so the hamster can hide under it.
NO. You can not put two different animals in the same cage! This is dangerous. They may fight and the hamster will probably not live. So unless you want a dead hamster, do not put them together.