6HP26Z Transmission Questions

[Ven]

Have 2 questions on transmission behavior on the 4.8is 2006 build 10/2005. This is primarily wife's car and I haven't driven an Auto transmission long enough on any make to know much about them.

1) after cold start (in the morning or after sitting for a long time), the first upshift, from 1 to 2 is a lurch/grab and you can definitely feel it. Subsequently all gears shift up and down smoothly.

2) after driving for a while, Normal operating temps, almost everytime reverse gear is selected, there is a 2-3 second delay before it engages. In that wait period, giving throttle does nothing(no reverse movement) other than engine rev up. After the reverse gear engages all is well again etc.

I saw there was a TIS bulletin PDF citing a Transmission software flash/update but that is for Build dates up to Aug 05, mine is Oct 2005 build so guess it has that update but not sure any update available after that!

The car has close to 119K miles and is on factory fill as far as auto trans fluid goes.

Are 1 and 2 normal or symptoms or some issue around the corner? I will have a trans shop run some diagnostics but before paying want to find out from the forum as well.