Took a look at this ITE panel, but the info was not on the inside of the door, but instead buried in the back of the cabinet, mostly covered by wires. Looks like an EQ 4x16B, but I can’t find any documentation online.
Of note, there is a tandem in a position (most likely) not allowed. The tandem has the plastic of the lower breaker snapped off.
There are neutrals and grounds sharing the same lug, and with the service disconnect outside next to the meter, they should be separated as well.
I think they upgraded the outside but not the inside, very strange that the remote panel was not inspected to have its grounded conductors separated. I don’t know what panel you’ve got but the tandem breaker appears to be in a spot not rated for such use. I would let electrician double check the breaker while he is there correcting everything else.
The interior distribution (sub) panel has a broken breaker, grounded (neutral) and grounding (grounds) conductors on the same bus bar and a tandem breaker possibly in the wrong position( I cannot see the label clearly because wires are in the way.).
I recommend having a qualified electrician make the corrections, necessary, to restore the safe operational integrity to the remote distribution (sub) panel.