Car is 1992 300 TE.

If fan will not spin by hand when engine is cold does that mean it's not working and needs to be replaced.

Unless it's totally locked up with the engine off, then the reverse is actually true. A healthy amount of resistance shows it's probably in good shape.

Do a search on the broomstick method. Worked for me.

__________________
08 W251 R350
97 W210 E320
91 W124 300E
86 W126 560SEL
85 W126 380SE Silver
85 W126 380SE Cranberry
79 W123 250
78 W123 280E
75 W114 280