Landlord Tenant

Can my landlord require my toy store to open on Sundays?
I have a toy store in a shopping mall in Connecticut. My landlord is forcing me to keep my store open on Sundays. He even said that he wants to add a clause regarding this to our lease agreement. Can he do so? He has even asked other shopkeepers to open their shops on Sundays.
Can a tenant in Connecticut deny landlord entry for inspections?
My tenant is an old person, most likely in his 60’s. My major problem with this guy is that he doesn’t like when I visit the house for inspection and small repairs. In Connecticut, can a tenant deny the landlord from entering the rental unit for inspection?
Can I rent my house in Connecticut without a fire sprinkler system?
I have a house in Connecticut. I thought of renting it out, but my friend told me that I need to have a fire sprinkler system fixed in there. Can I just rent the house without getting it fixed for the time being? I live in Connecticut.
What should I do if my tenant has abandoned the rental property?
My tenant has left the house without informing me. I guess he is not interested in coming back. What am I supposed to do in this situation? Can I rent the house to someone else or should I wait for my tenant?
Can I require my tenant to pay rent after abandoning the lease?
My tenant abandoned the rental premises in Vermont, six months before the expiry of the lease, claiming he is not liable to pay rent for those six months. Can I ask the tenant to pay rent for the entire term of the lease (including the six months that he did not stay in the house)?