Thanks for couple of suggestions.
Try to check on "Overview" tab of Environment monitoring but getting keep "Loading..." message and not displaying anything.
UTC time (2021/01/28 16:35:00), Period = -15 (job completed in 4 minute, either side added 5 minutes) to see "All" Activity types, continuously Loading...
Where as on "Activity" tab giving "Query failed to execute" message with SessionID. I provided "Query name" = All logs, Is batch throttled || Start date in UTC (2021/01/28 16:26:00) || End date UTC (2021/01/28 16:34:00)
Am I checking in right-way? would it be possible to mention some more specifics - to check if there is any process related to batch job are running in LCS?
Next, no packages applied in recent days (15 days), this sandbox was imaged/spinned from a UAT tested codebase, UAT environment " Batch jobs" working good, difference is UAT (tier1)monitored by Microsoft and sandbox (tier2) not. Currently I don't have AOS "Restart" option (not Project owner), will touch base with ISV. However I can login to VM and saw that batch.service is running.
I have two options under Maintain, these are not helpful I guess for the need.

But question is if I restart batch.service (Dynamics 365 Unified Ops) from services, will the Batch job/s come to "Ended" normally? or does IIS restart helpful?
What is the AxDB SQL table behind Batch tasks(??) of a Batch job(BATCHJOB)? this helps to understand db relation, goal is to patch things properly.
Appreciate any thoughts.