A:AnswerYou don't have to pay to play single player campaigns. However if you want to play online multiplayer then ps plus is required when you have to pay for. However, if you are new to PlayStation or make a new account you can get a 14 day trial for free by going to the ps store.
A:AnswerFor limited time yes. During holiday season it came with $50 gift card, but at the moment you're reading this it might not. Check the product discription for more detail before you make this purchase.
A:AnswerHDMI if you have a AVI reciver or the surround sound system you have works on your tv no matter what source it's on then it should work out fine just plug up HDMI normally
A:AnswerSingle Player can refer to the game itself, yes. However if Online Multiplayer is offered, you will need to purchase a membership to playStation Plus in order to play online with others. Games such as Sports games have the ability to be Two Player Local to the Console (With an additional controller), but anything played with others not on the console see the statement above regarding PlayStation Plus.