There is a new kit out for Brunswick lower units of years back. Faztbullet brought it to the attention of a Force member. The kit contains a cam follower, 3 ball bearings and some other things but no spring.
I too thought the spring could weaken over age and Faztbullet assured me that since most engine functions are in F gear and seldom R is used, there seldom is any (to speak of) pressure on the spring....to paraphrase him from memory.
So, I guess the spring is out. I think you might remove your shifter cable on the water and shift by hand. Once you have the R selected and the engine responds properly. Shut it off and put your remote control lever in R with the cable still disconnected at the engine.
Once having done that, look at the alignment of the hole in the center conductor of the cable and the pin on your engine's shift lever. If the lever pin is beyond the cable, just adjust the barrel on the front of the cable to increase the length to the pin and a couple more flips of the barrel for a little "pre load" on the engines shift linkage.
On here and there, I usually boat here but with the @#$%^&**() going on I have a lot of free time so I went back to some old haunts, one of them being your reference.