If you want a cheap flight from East Midlands to New York, you've got zero airlines to choose from.
New York John F Kennedy Airport is just one of the airports in New York. If you're not set on a specific airport, try changing your search from New York John F Kennedy Airport to New York to see a broader range of flights – they might be cheaper.
You can expect accommodation prices to be higher at this time of year too. Last-minute deals do crop up, but it's best to book everything in advance to avoid disappointment.