Is the car equipped with ABS, and if so have you had the brakes bled
with a scan tool?

nate

The brake pedal slowly going to the floor sounds like a master
cylinder piston bypassing fluid.  I read where you said you replaced
it, but that is the most common cause of your complaint, so I thought
I would mention it.  The test is to apply *light* pressure to the
pedal and see if it sinks, then apply firm pressure and see if it
holds any better.  If both of those statements hold true, the cause is
usually internal MC leakage.

Mentioning the year and what engine, trans, ABS or not, etc. might
yield a better answer.

If you are getting air in your system after the initial pad and
caliper replacement, you may have a poorly remanufacturered caliper /
piston seal that is sucking air during pedal release.  This process
can take a long time to get even a small amount of air in the system,
and can be nearly impossible to test.  It may require eliminating all
other possibilities before condemning a caliper.  Most rebuilt stuff
on the market is of questionable material and workmanship.  Higher
failure rates are going to be the norm when you are buying a typical
loaded caliper for ~ $50 to $80.

Toyota MDT in MO

You don't cut out pieces of brake line, you replace the whole line.

Who did the work???