I know it's a long read, but just for some perspective the 2010 crash of ET409 (737-800) occurred with similarly experienced flt crew and the same airline with the excellent reputation:
The captain had 10,000 hrs - with 180 hrs on type.
The first officer had 673 hrs - with 350 hrs on type.
Reading the report
could lead one to conclude that the captain did not have much of an idea about what he was doing on this aircraft and the first officer didn't feel like he was able to correct him.
http://www.bea.aero/docspa/2010/et-b...b100125.en.pdf
I think I would feel more comfortable if they turned on the autopilot sooner...