Form 5329-T and 5329-S keep popping out as "error", and asking input foreign country name. I did not put any foreign country information. How shall I treat this issue?

It depends how your information may have entered in your return.  If your 1099 R's were imported, there may have been an import error.  Here are a few steps you can try to resolve it:

1. Check 1099-R Entries: One of your 1099-R forms might have a box checked indicating foreign income. Review each 1099-R entry to ensure none of them mistakenly indicate foreign income.
2. Address Type: Make sure the address type for your 1099-R entries is set to "US address" and not "Foreign address".
3. Re-enter Information: If you can't identify the problematic 1099-R, try deleting all 1099-R entries and re-entering them manually.

Let us know if any of these solutions work.

Thank you for the suggestion.

I double (more than double) checked any foreign information, but no foreign information for 1099-R or any  other information.  Also, replace the 1099-R information. 

The error kept indicating a check box to select foreign country code, and I selected non applicable did not work more than ten times.  The form 5329 showed "other foreign country" even I did not select such country code.

Then I tried to select a code for Japan and have the form show "Japan" then I erased  the code of Japan.  After that the error message immideately disappeared.  I have successfully filed the return.