I have a sony TC 530. Fast fwd and rewind work

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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likely something has wrapped around the drive capstan, that would make tapes play faster. Forward and reverse are likely belt issues.

Sounds like it needs a new playback belt.

This condition, regardless of which way the tape is moving, is caused by the failure of a rubber pinch-roller to trap the tape between capstan and the passive roller.The speed is then caused by the part of the drive driven by a small belt and a clutch that should only keep a small amount of tension on the tape in ensure clean rewinding of the tape after it has passed the head.
Lubricant in part of the transport's moving parts or a dried-out rubber roller may be causing this.If you want to try to clean the pinch roller, don't use alcohol since this can further harden the robber.Use a clean fiber-free cloth or paper towel wetted with a LITTLE naphtha and turn the roller on the wetted area. If you get some dark smudging, the treatment is working.

It sounds like the belt is slipping or broken which monitors the speed of the tape movement. When you play or rewind the tape, it thinks the tape has reached the end of play and shuts off. You can try a different tape to make sure the tape does not have too much tension on it. If the second tape has the same result you will need to remove the top cover of the deck to inspect the tape drive mechanism. Make sure the belts and pulleys are clean and replace any belts which have glazing or cracks. If the belt is broken you will need to replace it with a compatible belt of the same length and width.

REEL TO REEL RECORDER SONY TC 330 - on back side of the set voltage selector knobe is lost,so how can i fix it ?

Just talked to Exec. Communication Systems. He said that the play motor is not turning (the rewind and fast forward uses a separate motor) and the problem is either the belt or the motor. They can repair them at $82.00 plus parts and shipping.

If it's slightly faster than normal, that's fine. You'll just need to check the rollers and tighten them slightly as well. They might be loose or sort of that.

The idler wheel (that only drives the tape in play or scan modes) is slipping too much (very common problem). Try verify this by putting the tape in play then immediately press the fast fwd or rewind buttons to scan the tape. On older machines, the idlers used rubber friction tires - on newer ones, a clutch. Either replace the tire or increase the spring tension on the clutch.
Hope Ya Fix It.

try this:
some cameras have a memory where they begin make sure the memory is off or cleared then try to rewind or try fwd to end clear memory then rewind tape...

now sometime tapes of 120 are really not recommended because of the load of tape amd ost have a tension sensor 60m is usually the best recommended