TIN stand for Taxpayer Identification Number which is a generic term; it includes identification numbers such as social security numbers and EINs (Employer Identification Numbers).
Yes, the number would be the same; enter the number from your form.
PAYER's not RECIPIENT is what i mean
The payer's TIN on Form 1099-MISC is either an EIN or a Social Security number. An EIN is in the format xx-xxxxxxx. A Social Security number is in the format xxx-xx-xxxx. On the screen where you enter the 1099-MISC TurboTax asks you which format it is.