Why Automatic-Transmission is shifting slow (delayed) when its COLD .*outside*

What is your question?

I have recently noticed when its cold outside, like snowing and my automatic transmission is delayed to shift into gear I have 1988 Celica ( i picked 1990 due to no option of my year ) st 3S-FE with 180,000miles and I also am having excessive vibration ( need mounts ) which has become worse & was told axel is bad on right side ( 1/2 cv shft ) .NOW would this have anything to do with the transmission having a delayed shift response?? Now to add to the issue with vibration.. I know I need mounts.. and when I am a stop light i put it in Neutral and it seems to calm the vibration. Wheres a reasonable place to purchase remanufactured AXEL for 1988 CELICA ST 3S-FE Im in Las Vegas, NV also am wanting to get Blue Book on it and want to sell it