Transmission cold start shifting delay from P to D 325xi 2004?

My vehicle is 2004 BMW 325xi.
I had experienced transmission delay engagement of one-half minute to two minutes after shifting from Reverse to Drive or from Drive to Reverse during the first cold start in the morning (after
extended - overnight parking. When I live it in Drive (D) the vehicle creeps forward until the transmission is fully engaged. Than it starts to drive. Sometimes I live the vehicle running 4-5 min until the temperature gauge goes to one quarter (it warms up to 1/4). Than it drives forward and in reverse with no problem. If I force it I step on the gass to about 2k RPM and than it moves forward about 10mph and it suddenly accelerates forward and i just push break pedal. Most of the times I just wait 4 - 5 min to warm up and than i drive. I don't have to wait if I go down the hill, but if I go up the hill without being warmed up to 1/4 car doesn't move at all until half min or so and then it drives fine.
The problem is more prevalent in colder weather, and usually
occurs during a ``cold start'' such as after the vehicle has been
parked with the engine off overnight.Transmission software is updated
When I shift (I have my foot on break) from P to D or P to R it hits when it goes in gear. It doesn't go into gear (R or D) right away but 1 to 1.5 sec later. It makes "toff" (like it hits - hard to describe) noise when it shifts from P to D or P to R.
IS THAT ''HITTING'' NORMAL, (LIKE TRANS IS JUST SHIFTING IN GEAR or smth like that..??)....??
IS '' COLD START'' DEMAGING TRANSMISSION?
IS TRANSMISSION GOING BAD?
PLEASE RESPOND TO MY EMAIL ASAP mirezhm13@yahoo.com
Help is appreciated, thank you.