Have american standard lifetime whirlpool tub problem with white drain popper will not go down all the way just got replacement part for company same problem

Yellowing is a sign of age, but plastic items can be brightened up a bit. Here are some suggestions:
http://www.howtocleanstuff.net/how-to-whiten-yellowed-plastic/

Should only take about 6-8 min to fill and about 4 min to drain.

It's time to replace that flush valve. They're cheap, they're easy to replace.

Go to a hot tub company, they have scale type cleaners that do this job. It does require draining a few times, but it is worth it.

some people use spray foam which you can add later

yes, it could be.also may be build up of waste,(hair,etc) is the rest of bath room performing ok,has this problem just appeared ?just something's to look into

Chances are that the drain assembly was not part of the tub but a 'generic' plumbing part. Is this pop up drain the type that you push down and it clicks closed and push down and then it pops up? It unscrews from the drain fitting and you can get a replacement at a big box store. A better pop up replacement is one called a Rapid-fit. It drains faster.

You will need plumbers putty and a plumber's drain tool. Put a ring of putty around the piece that will be on the inside of the tub to seal it. Then insert it through the hole making sure the rubber gasket is on the bottom side of the tub and tighten it down.

no manual. Sounds like the motor is no good. What model and brand of pump do you have?
replacement Bath Pumps

Is this in the basement and if yes then you have a brake in the pipe some where because you say that your snake is stopped by cement.