rely

  1. You can rely on me to do everything.
  2. You can rely on my doing everything to avert the disaster.
  3. You can rely on me for doing everything to avert the disaster.
    Are they correct?
    Does “He can’t be relied on to tell the truth.” mean that he will not tell the truth."?

Beeesneees,
Could you please help me?

(3) doesn’t really work fluidly.
‘You can rely on me for everything’
is okay, but this addition doesn’t sound good.

He can’t be relied on to tell the truth means that it is likely that he will not tell the truth. It is not an indication that he will definitely not tell the truth… It means he has been known to tel lies/untruths.

Beeesneees,
“You can rely on me for everything to avert the disaster.”
Is this sentence OK?

Not unless you are saying that you can provide all the items needed to provide the disaster. It doesn’t say what you want it to.

Beeesneees,
Please rephrase the sentence ‘You can rely on me for everything.’ to work fluidly.

You can rely on me to do everything to avert disaster. Perhaps that ‘flows’ better?