In PAIR, searching for applications by attorney docket number is easy: the docket number search is one of the radio button options on the front page under Search for Application, and when selected, opens up a dialog to allow entering the docket number. See attached screen capture from PAIR. The "Search for patent application" feature in PatentCenter does not allow searching by docket number at all. See attached screen capture from PatentCenter.
The search for control number and retrieval of XML data available in PAIR is also missing from this dialog.
This is Patentcenter trouble ticket CP12 in the PatentCenter Trouble Ticket web page maintained by the PatentCenter listserv at https://patentcenter-tickets.oppedahl.com/.