Need help Identifying some stuff.

[Skyman]

Yes, the red handled tool is a driver for escutcheon nuts. An example, although perhaps not the exact one, is seen here: https://cdn11.bigcommerce.com/s-b9h...VWC-111-941-515-D-2__12413.1604001284.jpg?c=1

 

[disston]

It is an insert for a ratchet. In the early days it was more common for a ratchet to be a female drive and needs a plug or insert to then attach a socket.

Sorry i don't have time to find you a pic but they are common today in the old tools trade. just not a style made new today.