The error log has the following:
SQL Server has encountered occurences of I/O requests taking longer than 15 seconds to complete on file g;|templog.ldf
That's really a different error - could be indirectly related but it could just be from the file growing.
You can see if or when a file grows in the default trace but it's not going to tell you what transaction.
So for your first question, no.
For the error you posted, take a look at this post to understand that error:
Troubleshooting SQL Server I/O requests taking longer than 15 seconds – I/O stalls & Disk latency
Sue
I see that message before the tempdb log file full in error log