Selecting MQ, then option 13 (History) then 2 (Object), you can look at the help for this command:
HELP MQROBJ
Here is the explanation of this command:
MQROBJ Command:
The MQROBJ command displays IBM MQI requests to IBM MQ objects by interval for the last 24 hours.
Parameters
+------------------+--------------------------------------------------+
| Parameter | Explanation |
+------------------+--------------------------------------------------+
| QMgr qmgr | Specifies a full or partial queue manager name |
| | by which to limit the display. Masking |
| | characters can be used when entering a partial |
| | queue manager name. The default is = (the |
| | default variable length masking character) or |
| | the last queue manager value entered. If this |
| | parameter is not specified any previous value is |
| | not altered. |
| | |
| | The special keyword value of NONE may also be |
| | specified. This is the same as specifying the |
| | NOQMGR keyword described below. |
| | |
| | Specifying a null or blank value resets the
| | value. |
+------------------+--------------------------------------------------+
| Object object | Specifies a full or partial object name by which |
| | to limit the display. Masking characters can |
| | be used when entering a partial object name. |
| | The default is = (the default variable length |
| | masking character). |
| | |
| | The special keyword value of NONE may also be |
| | specified. This is the same as specifying the |
| | NOOBJECT keyword described below. |
| | |
-----------------------------------------------------------------------
For example, to select a specific queue manager, type the command:
MQROBJ QM CSQ4
or use the SELECT command:
SEL MQGR EQ CSQ4
This data is stored in the dataspace and no, there is no more available in the dataspace than the last 24 hours.
Report Writer against the logstreams can be run to produce reports if you need an extended period of time.