No problem in giving the documents
Do you have a registered tenancy agreement or rent receipt issued by landlord in name of tenant
If yes then I do not see the reason behind the landlord asking for these documents
Since he is insisting you can always give him photocopies or true copies. How can he forge?
Rent you must pay by money order or open a bank account and deposit rent in such account and notify the landlord about details of this account
Cheque is valid only for 3 months from date of issue. So avoid cheque payments
Landlord just can't evict you like that. He has to follow due process of law
Keep visiting the place every now and then