namae to zyuusyo wo nyuuryokusita ato, denwabangou wo tuikasimasu.

Here と means and for nouns.

• 名前と住所 = name and address

This use of と is for a complete, definite list. It tells you both items are included.

Compare:

• 名前と住所 = name and address
• 名前や住所 = things like name and address / name, address, etc.

So と is the natural choice here because the sentence is talking about those specific two items.

Because 名前と住所 works as one combined object phrase:

• 名前と住所を入力した = entered the name and address

In Japanese, when two nouns are joined by と, the particle usually goes after the whole list, not after each noun.

So:

• 名前を住所を would be wrong here
• 名前と住所を is correct

The を marks the entire phrase 名前と住所 as the thing being entered.

入力したあと means after entering or more literally after having entered.

Breakdown:

• 入力する = to input, to enter
• 入力した = entered / did input
• あと = after

So:

• 名前と住所を入力したあと = after entering name and address

This whole part comes before the main action:

• first: enter name and address
• then: add phone number

This is a very common point of confusion.

Before あと, Japanese normally uses the past short form to show that one action is completed before the next one happens.

So:

• 入力したあと = after entering
• not necessarily in the past overall
• it just shows the first action happens before the second one

The main verb tells you the sentence’s overall tense/politeness:

• 追加します = will add / add

So the sentence can describe a procedure or regular instruction, even though 入力した looks past.

No, that would sound unnatural here.

With あと meaning after, Japanese generally uses:

• verb short past + あと

So:

• 入力したあと = correct
• 入力するあと = incorrect in standard usage

You can also see:

• 名詞のあと = after a noun
  Example: 授業のあと = after class

But for verbs, past short form + あと is the normal pattern.

追加します means add.

So the sentence suggests this order:

1. enter name and address
2. then add the phone number

This may imply that the phone number is being added later, as an extra item, rather than entered together with the first two items.

If the writer wanted to describe entering all the information in a more neutral way, they might also say something like:

• 電話番号を入力します = enter the phone number

But 追加します gives the nuance of adding it afterward.

They are related, but not always used in exactly the same way.

In this sentence, Vたあと is a grammar pattern meaning:

• after doing V

So:

• 入力したあと、電話番号を追加します = after entering the name and address, add the phone number

後で often means:

• later
• afterwards

For example:

• 後で電話します = I’ll call later

You may sometimes see both translated as after, but Vたあと is the more direct grammar pattern for after doing something.

Because Japanese often leaves out subjects and topics when they are clear from context.

In a sentence like this, the speaker may be:

• giving instructions
• describing a procedure
• explaining what someone does on a form or screen

So the subject could be understood as:

• you enter and add
• we enter and add
• someone in general does this

Japanese very often omits this kind of information if it is already obvious.

It can sound like either, depending on context.

Because 追加します is in the polite non-past form, it can mean:

• a polite statement: I/you/we add the phone number
• part of instructions or procedural language: add the phone number

This is common in manuals, forms, software explanations, and demonstrations.

If it were a direct command, you might see:

• 追加してください = please add it

But 追加します can still work very naturally in step-by-step explanatory language.

Japanese often places time and condition clauses before the main verb.

So the structure is:

• 名前と住所を入力したあと、 = after entering name and address,
• 電話番号を追加します。 = add the phone number.

This is very natural Japanese word order. The verb usually comes at the end of its clause, and background information often comes first.

Not by itself.

名前 just means name in a general sense. Whether it means:

• first name
• full name
• some other kind of name

depends on context.

If Japanese wants to be more specific, it might say:

• 氏名 = full name
• 名字 = family name
• 下の名前 = given name / first name

So in this sentence, 名前 is simply name, unless the larger context says otherwise.

You probably could in a loose, natural translation, depending on context, but it is not the most literal translation.

More literally:

• 電話番号を追加します = add the phone number

If the situation is a form or data-entry screen, an English translation like then enter the phone number may sound more natural to users, even though the Japanese verb is 追加する rather than 入力する.

So:

• literal meaning: add the phone number
• possible natural translation in context: then enter the phone number

It is not a special grammar marker, but it is helpful.

The comma shows a pause and makes the sentence easier to read:

• 名前と住所を入力したあと、電話番号を追加します。

Without the comma, the sentence is still understandable, but the comma cleanly separates:

• the time clause: after entering name and address
• the main clause: add the phone number

So it is mainly a punctuation choice for clarity and rhythm.