seeing as rhel6 is not free did you check with red hat to see if that laptop is supported
In general red hat dose NOT support laptops . In installing on a laptop not everything might work well .
The mouse pad might not work well .
The sound might not work well .
The graphics might not work well .
and the wireless might not work well .
RHEL is designed for the server first and foremost
now with all that
most laptops do mostly work mostly well -- mostly but not all.
google the kernel dump massage it is in the boot log
it is also a bug and harmless
Is there anything specifically to ensure that installation with basic video driver was perfect?
well informing us as to the gpu chip installed on the laptop would help
the output of
lspci | grep VGA
will show that
also you did buy the required license ?