I am using a shared MS SQL server on Godaddy. I noticed this morning that my each record was duplicated 5 times

If this is the case, then it's an issue for the GoDaddy support.

Just run a DBCC CHECDB to test the database integrity.

Msg 7983, Level 14, State 36, Line 2
User 'kenkenken' does not have permission to run DBCC checkdb for database 'kenkenken'.

Use [kenkenken] DBCC CheckDB

Then contact the support.. it maybe database or index corruption.

id               description                                      date                                      timestamp
13707      Borrowed from BO Starcity      2014-08-27 00:00:00.000      2014-11-24 12:07:58.237
14646      Borrowed from BO Starcity      2014-08-27 00:00:00.000      2014-11-24 12:07:58.237
15546      Borrowed from BO Starcity      2014-08-27 00:00:00.000      2014-11-24 12:07:58.237
15809      Borrowed from BO Starcity      2014-08-27 00:00:00.000      2014-11-24 12:07:58.237

I suspect you had a JOIN on the INSERT that caused additional rows to be generated.  But on the extremely limited info so far, there's no way to really know what happened.

id               description                                      date                                      timestamp
 13707      Borrowed from BO Starcity      2014-08-27 00:00:00.000      2014-11-24 12:07:58.237
 14646      Borrowed from BO Starcity      2014-08-27 00:00:00.000      2014-11-24 12:07:58.237
 15546      Borrowed from BO Starcity      2014-08-27 00:00:00.000      2014-11-24 12:07:58.237
 15809      Borrowed from BO Starcity      2014-08-27 00:00:00.000      2014-11-24 12:07:58.237

How did you inserted these rows?
Those are all columns in the table?

Yes they are columns in the table.  There is a possibility in my code that it is adding extra records.  Not sure what is going on? I am planning to review the code.

How can I delete all other identical records except with the lowest ID

Can you suggest a SQL query?

thank you