I bought this car 2 months ago and have been transitioning it into my
daily driver.  It's a 1997 LT1 car with about 110k miles.

I've noticed after driving it more that the transmission has issues.
The first is that at highway speeds it will temporarily lose overdrive
when throttle is decreased or let off completely.  For example, when
cresting a hill the revs will jump 500-700rpm for about 3 seconds and
then it will "catch" and everything will be normal again.  If I give it
gas while it is doing this, the revs will continue to rise and I feel
some moderate vibration but no acceleration until it catches again.

The second issue presents itself during hard acceleration.  If it's
"floored" from a stop, the car will lose wind at 4000rpm and take a
very long time to reach redline where it then shifts hard and spins the
tires.  During that hesitation the whole car will vibrate.  It will
also exhibit this behavior at higher speed on the 2-3 upshift.  I have
not driven it fast enough to see redline in 3rd.

A week ago the SES light came on and the Autozone code reader indicated
"all three" shift solenoid codes were tripped.  It was reset and has
not come on again but the problems persist.  I should also mention the
fluid looks red still but the dipstick constantly gets pushed out of
the tube, I suppose from excess pressure within the case.

Can anyone here help diagnose these issues?