I've got a C with hyds... I'll tell you what I've used, and had no problems with.
15w40 C/S rated oil in the engine. I get good oil pressure hot or cold.. winter or summer ( 25' - 104' florida.. etc.. )
for the hyds i used UTF fluid meeting modern oil specs...
for the rear.. now here is where it gets more difficult.
the oil i drained out looked like TAR. I had to mineral spirits flush it all out.
I initially put 80w90 in it and the thing sounded like a rubber band drive with gear noise out the wazoo. scared me.. had sounded fine with the tar.
talked to a couple of predominately 'red power' collectors and they told me to drain the 90 out and put in 140, and then buy a couple tubes of plain cheap as you can get.. amber / brown #2 gun grease and just plunger the entire tube(s) into the gear case then run her.
did that.. and now she's quiet as a mouse. runs fine. I use her to pull a drag and light cultivator.
probably not book... but passing along what other red people told me. I have much less exp with red.. only have a cub, the C and an H. More familiar with fords.. etc..