the card you just received most likely still supports PIN, just it's not preferred using PIN as the primary method for authorization (i.e. signature preferring). In most of the situation you will not notice any difference (especially in US).
you can still use the magnetic stripe as it's a requirement for credit card, however magnetic stripe is now a *backup* method for using your credit card. Again in US you won't notice any difference as most of the terminals only support magnetic stripe, however overseas in most other countries that already migrated to EMV, during a card transaction if you swipe the magnetic stripe the terminal will prompt operator to use the chip instead. Only when terminal has problem reading the chip then it'll allow physical magnetic stripe transaction for those chip enabled cards.
If it's a chip transaction, it's really close to impossible to clone the card assuming following good implementations, unlike magnetic stripe which can be easily duped