Camera plays in fast forward-like speed

If you mean just the one and the rest then it was probably recorded in Extended Play mode and nothing can be done.
Otherwise please explain your issues in more detail.

If the speed-controlled roller is not closing to pinch the tape when PLAY is selected, the recorder will play in a fast mode. You will need Isopropyl alcohol, contact cleaner, Q-tips a screwdriver needle-nose pliers and a steady hand to clean every moving part in that Reel-To-Reel and then lightly lubricate the moving parts.
While you are in there I would change the belts as well. Or send it to a qualified repair shop and pay $ 125.00 to $ 200.00 for same thing to be done. Take your time, it's just a big puzzle, make sure you video or document everything you remove so it goes back together correctly. Good Luck!

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This is most likely caused by a damaged or misaligned video drum and can usually be repaired fairly inexpensively. However, it's not a user serviceable problem and will need to be repaired by a qualified service technician.

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Oh my, sounds like you accidentally recorded in "Time Lapse" mode (one of the specialized video features of your camera). Unfortunately, there's no way to convert the already taken video back to "Standard" video with sound, I'm sorry. However, you'll obviously need to set your camera back to standard mode for future videos. Press the "Function" button while in video mode. Then press left/right to select "Standard" video.

you may want to try fast forwarding at 2x (that is, press the FF key twice), although the speed will be faster, it may actually stop for you, when you press play, rather than going to the end.

If you are recording the tapes in a slow speed, then I would suspect that the tracking pulse is not being recorded properly. Since this is a new VCR, return it for an exchange. One of the recording heads is bad.
Dan

I suggest you get the Tape path cleaned up. Could be dirty video heads or a dirty Control Head. Use a good 'wet' type cleaning cassette.

a sony cleaning cassette may clear the gunk from your friend ' s possibly ? bad tapes ( do not rewind it - or the gunk will be redeposited ) ; if still no video , get an estimate to have your heads and guides cleaned . . . professionally ;

Your camera has a capstan servo problem which is more than likely being caused by the capstan motor itself.Nothing you can do youself,would suggest bring to service but reccomend getting estimate before repairing.