Cửa hàng đang xử lý yêu cầu.

đang shows that an action is in progress right now. It works a lot like English is/am/are ...-ing.

So:

• xử lý = process / handle
• đang xử lý = is processing / is handling

In Cửa hàng đang xử lý yêu cầu, đang tells you the store is currently in the middle of dealing with the request.

Vietnamese normally does not use articles like English a/an/the.

So:

• cửa hàng can mean a store, the store, or just store/shop
• yêu cầu can mean a request, the request, or request

Context tells you which meaning is intended. If this sentence appears in customer service, Cửa hàng đang xử lý yêu cầu will usually be understood as The store is processing the request.

Yes, the basic order here is very similar to English:

• Cửa hàng = subject
• đang xử lý = verb phrase
• yêu cầu = object

So the pattern is:

Subject + aspect marker + verb + object

That makes this sentence structurally close to:

The store + is processing + the request

cửa hàng literally means store or shop, but in real usage it can refer to:

• the physical store
• the business
• the staff acting on behalf of the store

In this sentence, it usually means the store/business as the one responsible for processing the request. English does this too when we say The store will contact you.

xử lý is more specific and more formal than làm.

• làm = do / make
• xử lý = handle / process / deal with

So xử lý yêu cầu sounds like process a request or handle a request, which is very natural in administrative, technical, or customer-service contexts.

If you used làm yêu cầu, it would sound unnatural here.

yêu cầu often means request, but depending on context it can also mean:

• demand
• requirement
• request for service/action

In this sentence, request is the most natural meaning. In customer-service language, xử lý yêu cầu is a very common phrase for processing a request.

Vietnamese nouns usually do not change form for singular or plural.

So yêu cầu can mean:

• request
• requests

Context tells you which one is meant. If needed, Vietnamese can make plurality clearer with extra words, for example:

• một yêu cầu = one request
• các yêu cầu = requests
• những yêu cầu = requests / some requests

But in many everyday sentences, Vietnamese leaves this unspecified.

Yes. Cửa hàng xử lý yêu cầu is grammatically possible, but it means something different in nuance.

• Cửa hàng đang xử lý yêu cầu = The store is processing the request right now.
• Cửa hàng xử lý yêu cầu = The store processes requests / the store handles the request / a more general statement, depending on context.

So đang is useful when you want to emphasize that the action is currently happening.

Yes, it sounds neutral and natural, especially in customer-service or business communication.

It has a slightly formal/service tone because of xử lý yêu cầu. This is the kind of language you might see in:

• order updates
• help desk messages
• support emails
• app notifications

It is not overly stiff, but it is more professional than casual conversation.

To negate it, you usually put không before the verb phrase:

Cửa hàng không xử lý yêu cầu.
= The store does not process the request / is not handling the request.

If you want to keep the ongoing sense with đang, a common pattern is:

Cửa hàng không đang xử lý yêu cầu này.
or more naturally in many contexts:
Cửa hàng chưa xử lý yêu cầu này.

The second one, chưa, often means has not processed yet, which is very common when talking about requests, orders, or applications.

Yes, if you want to count it, you can use a classifier-like counting word such as một directly, and often yêu cầu does not need a special classifier in basic usage:

• một yêu cầu = one request
• hai yêu cầu = two requests

In practical Vietnamese, people commonly count yêu cầu directly without adding a separate classifier. That is normal.

Sometimes, but not always.

• cửa hàng = store/shop, neutral and standard
• tiệm = shop/store, often more colloquial or used for certain kinds of shops

In a customer-service or business message, cửa hàng sounds more standard and broadly appropriate. Tiệm đang xử lý yêu cầu is understandable, but it may sound less natural in formal service communication.

Both can be translated as handle/process/deal with a request, but the nuance is a little different:

• xử lý often suggests processing, handling, or taking action on
• giải quyết often suggests resolving or solving

So:

• đang xử lý yêu cầu = is processing/handling the request
• đang giải quyết yêu cầu = is resolving the request

If the request is in progress but not finished, xử lý is often the better choice.