kinyuurei de ha, sinseikigen ha getuyou desu.

It would normally be written without spaces:

記入例では、申請期限は月曜です。

A natural reading is:

きにゅうれいでは、しんせいきげんは げつようです。

Word-by-word:

• 記入例 = sample filled-in example / example form
• では = in / in the case of / as for
• 申請期限 = application deadline
• は = topic marker
• 月曜 = Monday
• です = is

記入例 means an example showing how something should be filled in.

It breaks down as:

• 記入 = filling in a form or writing something in
• 例 = example

So this is not just any random example. It usually means a sample completed form or a model entry that shows what to write.

Here, で marks the context or setting, and は adds a topic/contrast feeling.

So 記入例では means something like:

• in the example
• as for the example
• in the sample form

It sets the frame for the rest of the sentence.

A very literal sense is:

• As for in the example, the application deadline is Monday.

In more natural English, that becomes:

• In the example, the application deadline is Monday.

Japanese can have more than one は because they can mark different layers of topic.

In this sentence:

• 記入例では sets the overall frame: in the example
• 申請期限は sets the main topic inside that frame: the application deadline

So the structure is roughly:

• As for in the example,
• as for the application deadline,
• it is Monday.

This is very normal in Japanese. The first は gives the context, and the second は gives the specific thing being talked about.

は is used because 申請期限 is being presented as the topic: we are talking about the application deadline and saying what it is.

So:

• 申請期限は月曜です。 = As for the application deadline, it is Monday.

If you used が, the nuance would change. が tends to identify or focus on the subject more strongly.

For example:

• 申請期限が月曜です。

This could sound more like It is the application deadline that is Monday or be used in a context where you are picking out which thing is Monday. It is not impossible, but は is more natural here for a straightforward statement about a known topic.

Because 月曜 is the predicate noun here.

This is the basic A は B です pattern:

• 申請期限は = as for the application deadline
• 月曜です = it is Monday

There is no particle needed between B and です in this pattern.

So:

• 申請期限は月曜です。
• not 申請期限は月曜にです
• not 申請期限は月曜がです

Those would be incorrect here.

Yes. Both mean Monday.

• 月曜 is a shorter form
• 月曜日 is the full form

Both are common, and both are natural.
So these mean the same thing:

• 申請期限は月曜です。
• 申請期限は月曜日です。

The shorter form often feels a little more compact and conversational, but it is still perfectly standard.

No. They look the same, but they are not functioning the same way.

In this sentence:

• 記入例では
• で + は
• means in the example / as for the example

In ではありません:

• では is part of the negative copula expression
• ではありません = is not

So the form is the same on the surface, but the grammar is different.

Yes, there can be.

Because は often adds a contrastive feeling, 記入例では can suggest:

• in the example, it is Monday
• maybe implying that in the real case, it could be different

This contrast does not have to be strong, but it is often there in the background.

So depending on context, the sentence might feel like:

• In the sample form, the deadline is Monday.
  (Maybe this is just an example, not the actual deadline.)

The comma marks a pause after the opening frame 記入例では.

It helps show the structure:

• 記入例では、 = in the example,
• 申請期限は月曜です。 = the application deadline is Monday.

In short sentences, commas in Japanese are somewhat flexible, but this one is very natural because the first phrase sets the context.

Yes. A very literal translation would be something like:

• As for in the example, as for the application deadline, it is Monday.

That is helpful for understanding the grammar, but it is not natural English.

A natural translation would be:

• In the example, the application deadline is Monday.
• On the sample form, the application deadline is Monday.

So the Japanese structure is more topic-based than English, and a good translation usually smooths that out.