It is illegal for the landlord to enter your room. Yes, you have the right to a lock. Once you sign and pay, the landlord needs your permission to enter the premises.
You are supposed to have a hard copy of the contract. Not to have one is illegal. handwritten or otherwise. Most people use a printed standard copy you buy for a few NTDs at 7-11.
Never sign a contract without a witness. Now it is your word against his. He can claim he told you he lived on premises, he can claim he gave you a copy of the lease.
For the time being, you can go to Tsui Mama. www.tmm.org.tw
They can straighten and clarify a few things for you.
Do not stay in this situation for the sake of a kitchen, even if the guy swindles you out of two months rent you just can't stay there under these circumstances. One thing is a "misunderstanding", another one downright irrational, can't argue with them, make rules on the fly kind of people. Out. Today. Now.
Yes, you have recourse. But I would put your valuables away first.
There are many places with kitchens. Apartments and rooms are a dime a dozen. If you need help, say so. Never rent a place without a local or any other person with you as witness. Take pictures of the place before you move in. Take pictures afterwards.