Yes, you can have two apartment leases in your name. Many people rent multiple apartments for various reasons, such as work requirements or personal obligations. As long as you can manage the financial responsibilities and comply with any applicable laws, holding two leases is perfectly legal.
Adding someone to your tenancy means you both become joint tenants. It's not the same as passing your tenancy on to someone else. You need permission from your landlord to add someone as a joint tenant.
Does a tenant in a rent stabilized apartment have the right to add their spouse's name to the lease? Yes. The tenant has the right, upon request to the owner, to have the name of his or her spouse added to the lease as an additional tenant, if the spouse resides in the apartment as a primary residence.
Basically anyone who is living there needs to be on the lease with your approval so that they are clearly held to the same responsibilities to you as any other tenant. You want as many people liable for your property as there are adults living there. Always.
Yes. The tenant has the right to request that the owner add the name of his, her or their spouse to the lease as an additional tenant if the spouse resides in the apartment as a primary residence. The owner is required to add the additional names at the time of lease renewal.