Vinyl over vinyl, connected rooms

hi all,

We have a Utility Room and a Bathroom connected by a short hallway. All three spaces (Util, Bath, Hall) have different vinyl floors. We're pretty sure that the Bath and Util rooms have asbestos underneath so we don't want to tear them out. however, the hallway has newer vinyl and it is loose in spots.

We've considered the following:

1) Tearout everything.... Yuk! No.
2) Tearout the hallway only and install a self-leveling filler to bring the level up to the Util and Bath.
3) Cutout the loose sections and install the self-leveling filler in the cutouts.
4) Do #2 above but also put in a sub-flooring on top of all three floors.

Our first choice is #3. Our second choice is #2. Third is #4. #1 is not an option we want.

Is #3 really viable?
Is #4 the best way to go?
What's the best for a sort of handy do-it-yourselfer?

Thanks,

jeff/marybeth

*** POST EDIT ****

I forgot to mention that under all the vinyl floors is concrete.

 

#3 cheapesr and easiest probably the most likely to fail though.
#4 would be the best of the 4 options if in fact the floor does contain asbestos