I am looking at your script, why do you want to step it like that? I looked at your fpe and that could be your problem.
In the fpe you have:
;Animationinfo
animmax = 0,70
anim0 = 0,0
anim1 = 1,31
anim2 = 31,59
anim3 = 60,70
Change it to :
;Animationinfo
animmax = 70
anim0 = 0,70
anim1 = 1,31
anim2 = 31,59
anim3 = 60,70
And then change your script accordingly. To something like:
:state=0:state=1
:state=1,anywithin=75:incframe=1
:state=1,frameatend=1:state=2
:state=2:decframe=1
:state=2,frameatstart=1:state=0
This last code is just for reference only it is just the code for the auto door, but I think that you will get the picture.
Also from what I can see you are missing some faces around the lid and spout. You also might consider reducing the scale down to normal teapot size that is unless you are making a alice in wonderland type game where everything is out of scale.
Since you are using 3ds max you should have the ability to bake you texture and make it look pretty.
Congrats on making a teapot and I hope this helps.