No you don't
need a tacho, in fact if you search on here for 'Tach plugs', one of the top men actually manufactures metal plugs to block off the hole -( I think it's Tools1 who makes them).
If you're planning on modifying the bike (cafe style?) then you wouldn't want the tacho anyway.
I'm pretty sure, though, that what you have could be repaired.
Maz
'76 CB500T
'75 GL1000 'Wing
'79 CB750L
'90 FJ1200
'93 GS500E
In a little place called Bexley, Kent, UK (Just south of London!)