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You might have a 'sticky' tape, one whose transport mechanism can only be moved by excessive force, effectively stopping any tape player from moving.
Try that set of operations, only without a tape - do the capstans move as they should, with no tape present?
- if they do move, then the tape is probably 'sticky'.
- if they don't move, you probably have a set of loose or perished drive belts inside the player. Either that, or you have a motor that has ceased to operate.
As for sending it somewhere for repair, or perhaps taking it someplace local to you for repair.... let me know your local zip code, and I will advise you further.