sono syoutengai ni ha, oisii pan wo uru mise ya sizukana kafe ga arimasu.

に marks the location, and は marks that location as the topic.

So その商店街には means something like:

• as for that shopping street
• in that shopping street

This pattern, 場所 + には, is very common when introducing what exists in a place.

For example:

• 公園には猫がいます。
  In the park, there are cats.

The は gives a slight contrastive or topic-setting feeling, as if we are now talking about that shopping street.

Because が marks the things that exist.

The basic pattern with ある / あります is:

• place に thing が ある
• place に thing が あります

So here:

• その商店街には = in that shopping street
• 店や静かなカフェが = shops and quiet cafes
• あります = exist / there are

A natural structural reading is:

• As for that shopping street, there are shops that sell delicious bread and quiet cafes.

や is used to list examples, not a complete list.

So:

• A や B = A and B, among other things
• A と B = A and B as a more complete or exact list

Here, 店や静かなカフェ suggests:

• shops that sell delicious bread,
• quiet cafes,
• and possibly other kinds of places too

So や gives the sense of things like ... rather than a strict complete list.

In Japanese, a verb in plain form can directly modify a noun.

So:

• パンを売る店 = a shop that sells bread

Literally, it is:

• bread sell shop

But in natural English, that becomes:

• a shop that sells bread

This is a very common Japanese structure:

• 日本語を勉強する人 = a person who studies Japanese
• 本を読む学生 = a student who reads books
• ケーキを作る店 = a shop that makes cakes

So 売る is not the main verb of the sentence here. It is part of a noun phrase describing 店.

When a verb modifies a noun, Japanese normally uses the plain form.

So:

• パンを売る店 = a shop that sells bread

The non-past plain form here does not necessarily mean future. It often describes a general characteristic or habitual action.

So this means:

• a shop whose function/business is selling bread

Using 売っている店 is also possible in some contexts, but 売る店 is a very normal, compact way to describe the type of shop.

Because Japanese has two main adjective types:

1. い-adjectives
2. な-adjectives

おいしい

This is an い-adjective, so it directly modifies the noun:

• おいしいパン = delicious bread

静か

This is a な-adjective, so it needs な before a noun:

• 静かなカフェ = a quiet cafe

Compare:

• 大きい店 = a big shop
• 便利な店 = a convenient shop

So the な is not random; it is part of how that adjective type works before nouns.

Because あります is used for non-living things, while います is used for living things such as people and animals.

Here, the things that exist are:

• 店 = shops
• カフェ = cafes

These are non-living, so Japanese uses あります.

Compare:

• 公園に犬がいます。 = There is a dog in the park.
• 駅の前にコンビニがあります。 = There is a convenience store in front of the station.

Yes, その means that, but specifically that near you / that already mentioned.

Japanese has this basic set:

• この = this
• その = that
• あの = that over there

So その商店街 means:

• that shopping street

In context, it usually refers to a shopping street already known in the conversation.

Japanese usually does not need a relative pronoun like that, which, or who.

Instead, the descriptive clause comes directly before the noun:

• パンを売る店 = the shop that sells bread
• そこで働く人 = the person who works there
• 昨日買った本 = the book that I bought yesterday

This is one of the biggest structural differences from English.

So Japanese says, in effect:

• bread-sell shop instead of
• shop that sells bread

Yes. It is very natural Japanese.

A helpful way to see the structure is:

• その商店街には = as for that shopping street / in that shopping street
• おいしいパンを売る店や静かなカフェが = there are shops that sell delicious bread and quiet cafes
• あります = exist / there are

Japanese often builds sentences by putting location or topic information first, then describing what is there.

So this sentence follows a very common pattern:

• place/topic + things that exist + あります

Yes, depending on what nuance you want.

• パン屋 = bakery / bread shop
• おいしいパンを売る店 = a shop that sells delicious bread

The original sentence is a bit more descriptive. It emphasizes that the bread is delicious, not just that it is a bakery.

So:

• パン屋 is shorter and more direct
• おいしいパンを売る店 gives more detail

Both can be natural, but they are not exactly identical in nuance.