Job server is not processing anything

It sounds like the job server is not properly configured.  If you browse to the web page, is the server servicing any queues?

When I browse the web page it shows "Executing instance for queue \RemoteJobServer2". And this is our queue name

And...is that where your jobs are being generated?

Yes and there are no errors in the logs. One more point to add this job service communicates with DB via App server. 

I am assuming that there are jobs in the \RemoteJobServer2 queue that are not getting picked up.  Have you checked the log on the job server?  is the server checking that queue?

yes it is checking the queue. It shows below info in logs

2018-07-16 13:14:14 +00:00 - Info: Last process step request succeeded.
2018-07-16 13:15:44 +00:00 - Info: Requesting process steps for queue \REMOTEJOBSERVER2.
2018-07-16 13:15:44 +00:00 - Info: Last process step request succeeded.
2018-07-16 13:17:14 +00:00 - Info: Requesting process steps for queue \REMOTEJOBSERVER2.
2018-07-16 13:17:14 +00:00 - Info: Last process step request succeeded.
2018-07-16 13:18:44 +00:00 - Info: Requesting process steps for queue \REMOTEJOBSERVER2.
2018-07-16 13:18:44 +00:00 - Info: Last process step request succeeded.
2018-07-16 13:20:14 +00:00 - Info: Requesting process steps for queue \REMOTEJOBSERVER2.
2018-07-16 13:20:14 +00:00 - Info: Last process step request succeeded.
2018-07-16 13:21:44 +00:00 - Info: Requesting process steps for queue \REMOTEJOBSERVER2.
2018-07-16 13:21:44 +00:00 - Info: Last process step request succeeded.
2018-07-16 13:23:14 +00:00 - Info: Requesting process steps for queue \REMOTEJOBSERVER2.
2018-07-16 13:23:14 +00:00 - Info: Last process step request succeeded.

What 's the result of

select Queue, Ready2EXE , Count(*) from JobQueue
	group by Queue, Ready2EXE
	order by 1,2

You should also check 

select LastTimeoutCheck, getutcdate() from QBMServer where QueueName = '\REMOTEJOBSERVER2'

Below is the response of the query

\REMOTEJOBSERVER2 TRUE 1

Below is the response of the query "select LastTimeoutCheck, getutcdate() from QBMServer where QueueName = '\REMOTEJOBSERVER2'"

12/30/1899 12:00:00AM  7/17/2018 5:56:34 AM

check if autoupdate is enabled but the update server is not defined or not processing

-- is auto update enabled
select Value, IsEnabledResulting from DialogConfigParm where Fullpath = 'Common\Autoupdate'

-- does file content look okay
select len(FileContent), len(HashValue) from QBMFileRevision where UID_QBMFileRevision = 'QBM-74EC03CD5A0D2B334D197DBD5158A598'

-- check if queue is in autoupdate and there is a update server
select s.Ident_Server, s.IsInSoftwareUpdate, s.IsNoAutoupdate, s.IsJobServiceDisabled, sign(len(t.UID_QBMServerTag)) as IsUpdateQueue from QBMServer s
	left outer join QBMServerHasServerTag t on s.UID_QBMServer = t.UID_QBMServer and t.UID_QBMServerTag = 'QBM-ST-Is07'
	where IsQBMServiceInstalled = 1

check if autoupdate is enabled but the update server is not defined or not processing

-- is auto update enabled
select Value, IsEnabledResulting from DialogConfigParm where Fullpath = 'Common\Autoupdate'

-- does file content look okay
select len(FileContent), len(HashValue) from QBMFileRevision where UID_QBMFileRevision = 'QBM-74EC03CD5A0D2B334D197DBD5158A598'

-- check if queue is in autoupdate and there is a update server
select s.Ident_Server, s.IsInSoftwareUpdate, s.IsNoAutoupdate, s.IsJobServiceDisabled, sign(len(t.UID_QBMServerTag)) as IsUpdateQueue from QBMServer s
	left outer join QBMServerHasServerTag t on s.UID_QBMServer = t.UID_QBMServer and t.UID_QBMServerTag = 'QBM-ST-Is07'
	where IsQBMServiceInstalled = 1