2005 f150 5.4 4WD

I had my 05 f150
Triton rebuilt in
November 2018
because it started to
shake while driving so
bad I had to get
towed.  I first thought
it needed a cpac but
the repair shop said i
need to take it to a
Machine shop,  so
yep of course they td
me after having it for
3 weeks that the
engine needed to be
rebuilt, so after 2
months and $8,300 i
got it back but they td
me i neede to a new
exhaust system but
they didn't do it their
so i took it to a
exhaust system
Hawaii,  yes
everything in Hawaii
is sooo much more  
well they told i didn't
need a new system
but just a few repairs,  
had fix very
inexpensive from
them then 8 dayd
later my truck started
to shake again so i
had towed back to
the machine shop
and the said nothing
was wrong it just
drives like a truck.  
The 4 days later the
engine light came on
again and i used the
obd reader and it
needed  1 ignition coil
so i changed it with
the help of my
neighbor and it ran
amazing,  no shake,
no extreme noise now
2 months after the
intake mainfold
runner showed up on
the OBD reader with
also "stuck open"  my
question is should
they have checked
the mainfold or
included it in the
rebuild?