I don't know of a state that requires a landlord to provide air conditioning. I'm in Massachusetts, which, like most states has laws about heat, but not A/C. So, this wouldn't violate any sanitary code. It might be a breach of contract, but, then, if you didn't pay your rent, that goes both ways.
I could find no evidence that the furnished/unfurnished status of an apartment has any effect on rent control in NYC. No, furnished apartments are not included in the rent control laws in New York City. It only applies to unfurnished apartments.
rent control
There are normally no laws which control what a landlord can ask a potential tenant about their criminal record.
No. You have the right to ask questions about this matter as every tenant who faces the uncertainty of his landlord being under foreclosure. But remember: as long as the landlord has control of the property he can still collect rent from you and evict you if you don't pay it.
As long as the landlord still has control over the property he has the right to collect rent on it and evict non-paying tenants.
The basic rule is as follows: if your landlord files bankruptcy that is a matter between your landlord and his creditors, not you, the tenant. You are still required to pay rent or be evicted, as long as your landlord has control over the property. This applies to whether the landlord has filed for bankruptcy or if the property is under foreclosure. In either case, if you end up staying on the property, the new landlord will provide further instructions on whether to stay or to move.
The landlord may not raise the rent during the lease but after it expires, that's different. Many areas have rent control so check for that first. If there is, then the increase should be within that limit or else you can appeal to the Rent Control Board. If there is no rent control, then the landlord may be free to raise it as much as he wants. If he's asking more than it's worth, move.
It normally depends on how many units are in the complex. If the "complex" is actually a duplex, triplex, or quadplex, then no: it's not an apartment complex and generally the landlord is not responsible for pest control. If there are more than four units then it's an apartment complex, and is subject to more rules: the landlord is normally responsible for the pest control, inter alia. Code Enforcement can help you enforce the laws your by which your landlord must abide.
rent control
Yes, subject to any local rent control laws.
First of all the word is TENANT. Generally speaking, the answer is no. A landlord cannot control the behavior of his tenant. If the tenant is too loud you have the right to call the police and let them handle the situation. Generally speaking, you cannot withhold the rent from your landlord because of an annoying condition. If there are maintenance issues with your apartment such issue interferes with your essential living -- for example, your water heater goes out -- then, following your State's landlord and tenant law, you can follow the guidelines to remedy this situation. For example, in Florida, if your water heater goes out and you notify your landlord at least seven days before the rent is due, and the landlord does not fix the water heater, then you can have the water heater replaced yourself, then deducted from the rent.
Not per se. A foreclosure proceeding on your landlord is no reason to not pay your rent, as long as he still has control of the property. If this is not the case then the bank or other entity that has control over the property will give you instructions on what to do. Your landlord has to give you your deposit back unless he's keeping it for legitimate reason, and such reason must be listed on the paper he sends you when he intends to keep the deposit.