I put off answering this, to try to give myself time to come up with a 'nice' answer.

Sorry, but I've failed: a floated pool is pretty much toast.

The only way I can imagine a competent and honest contractor attempting to help you is on a "NO guarantees whatsoever; payment up front!" basis. There's just no way to know what all has gone wrong . . . and what all will CONTINUE to go wrong . . . without digging up the pool. That means, ANY repairs are just a crap-shoot, with no way to be sure they will work.

In fact, most competent and honest contractors will run away from a pool like that, as soon as you say, "I don't want to dig it up; I just want to fix it". Maybe there's some way to hang a liner in an unstable floated pool (they can gradually sink back down when filled), but I've never heard of it.

So be careful: I'm afraid you're likely to become a shyster's 'mark' if you aren't honest with yourself about the problems your pool is really facing. And if you do become a 'mark' you'll just end up wasting money, without fixing your pool.

Good luck.