提出 and 提示: submitting a document or showing it for inspection
Distinguish submitting an application from presenting identification, without reading a request to show something as a request to leave it behind.
Submitting documents or work
提出, read ていしゅつ, means submitting documents or work to another party. 申込書を窓口に提出しました。 means that the application form was submitted at the counter.
レポートをオンラインで提出してください。 asks for a report to be submitted online. 提出 is not limited to handing over paper in person.
Showing something so it can be checked
提示, read ていじ, means presenting or showing something. 入口でチケットを提示しました。 says that a ticket was shown at the entrance.
受付で身分証を提示してください。 asks someone to show identification at reception. It does not by itself require leaving the identification there.
The same item in different procedures
書類を提示して内容を確認してもらいました。 says that a document was shown so its contents could be checked. Presentation for inspection may be distinct from formal submission.
提示だけでよいのか、コピーを提出する必要があるのか、確認してください。 asks someone to check whether showing the item is sufficient or a copy must be submitted. Follow the specific instructions.
Does 身分証を提示してください。 necessarily mean leaving identification at the reception desk?
Show the answer and why
No. It asks for identification to be shown for checking. Consult separate instructions about retaining it or submitting a copy.