If the main breaker is at the meter, then that panel isn't the service equipment, it is just a panel (ALERT! WARNING! DO NOT UNDER ANY CIRCUMSTANCES USE THE "S" WORD!!!!!!!!) and the neutrals and grounds need to be separated and neutrals "floating" with regard to the enclosure and grounds bonded to the enclosure.
Also, that there meter needs proper clearance around it.
Notice I'm not really answering your question.
There are more than 6 handles in that panel, so it needs its own main disconnect, which should not be larger than what's listed.
If the conductors from the 200 amp disconnect to this panel are rated for at least 200 amps, then that should be ok, is my thinking.