I have a 97 Olds Silhouette. The other day when backing out of the garage, I
put it in reverse and it didn't seem to engage, I then put it in neutral and
then drive and it wouldn't engage. I put it in park for a bit and back in
reverse, still would not engage, I gave it some gas ...

I have a 1995 98 olds with the 3800 engine.
It has developed a very small water leak.  Does not appear to be coming from
the
radiator, replaced the hoses, no help.