02 Hyundai sonata, lost rpms went to start it again and wouldn't turn over. Oil, battery and check engine lights we're on.

I was driving down the highway when I
started to lose rpms.  Pulled car over and
turned it off.  When I went to turn it back on
battery,oil and check engine lights we're all
on.  The car cranks but doesn't turn over.  
Took it to a repair shop and they said it was
the timing belt.  I don't know if I trust them
because the timing belt was replaced less
than 2 years ago. When I got my car home
that night (towed it)  I was doing some of
my own inspections.  While I was having
someone try to start the car,  I could see the
belt slowly moving but not like it should
obviously.  But the lights in my car were
flickering so that to me seems like a power
issue...alternator maybe?  
Any thoughts are greatly appreciated. Just
a single mom looking to get my car running
for a resonable price. Thanks in advance!