O endereço cadastrado e a restrição médica estão corretos.

Because the subject is made of two things:

• o endereço cadastrado
• a restrição médica

Together, they form a plural subject, so the verb must also be plural:

• singular: O endereço cadastrado está correto.
• plural: O endereço cadastrado e a restrição médica estão corretos.

So estão agrees with both nouns together.

This is because Portuguese uses the masculine plural when an adjective refers to a mixed group of nouns, or to nouns with different grammatical genders.

Here we have:

• endereço = masculine
• restrição = feminine

When correto describes both of them together, the default is masculine plural:

• corretos

If both nouns were feminine, then you would use corretas.

For example:

• A restrição médica e a informação estão corretas.

But with endereço included, the adjective becomes corretos.

Because nouns in Portuguese have grammatical gender.

• o endereço is masculine
• a restrição is feminine

The articles must match the gender of each noun:

• masculine singular: o
• feminine singular: a

This does not necessarily mean the thing itself is male or female. It is just part of the grammar of the noun.

Here, cadastrado is acting like an adjective describing endereço.

It comes from the verb cadastrar, which means something like to register, to record, or to enter into a system.

So:

• endereço cadastrado = the registered address / the address on file

Grammatically, cadastrado is the past participle of cadastrar, but in this sentence it functions as an adjective.

In Portuguese, adjectives often come after the noun.

So these are the normal patterns:

• endereço cadastrado
• restrição médica

This is more natural than putting the adjective first.

Sometimes Portuguese can place adjectives before the noun, but that often changes the tone, emphasis, or meaning. In everyday neutral descriptions, noun + adjective is very common.

Médica is the adjective from médico/médica and means medical.

So:

• restrição médica = medical restriction

This is the natural way to say that the restriction is related to medical issues or health information.

Medicinal usually means something more like medicinal in English, relating to healing substances or medicinal properties, so it would not fit as well here.

Because it agrees with restrição, and restrição is a feminine noun.

So the adjective must also be feminine singular:

• a restrição médica

Compare:

• o problema médico
• a restrição médica

The adjective changes form to match the noun it describes.

Sometimes you may hear ser with correto, but in this kind of context estar corretos is very natural because it refers to the current state or status of the information.

It suggests something like:

• the registered address and medical restriction are currently correct
• the information checks out as correct

Using ser would sound more like a general or permanent characteristic, while estar fits better when talking about whether data or details are correct at the moment.

So in this sentence, estão corretos is the most natural choice.

Because both noun phrases are joined by e (and), and together they share the same predicate:

• estão corretos

Portuguese works like English here:

• The address and the medical restriction are correct.

You do not need to repeat the verb for each noun unless you want extra emphasis.

Yes. The best translation depends on context.

For endereço cadastrado, common English equivalents are:

• registered address
• address on file
• address entered in the system

In administrative, medical, banking, or customer-service contexts, address on file is often a very natural translation.

So learners should understand that cadastrado often refers to information that has been officially entered into a record or database.

A useful approximate pronunciation is:

• en-de-RE-so or en-de-RE-su

A few notes:

• the stressed syllable is re
• ç sounds like s
• the final o in Brazilian Portuguese often sounds closer to u

So endereço is roughly:

• en-deh-REH-su

Not exact English pronunciation, but close enough for a learner.

Estão is roughly pronounced:

• es-TOWN, but with a nasal ending

Important points:

• the stress is on the last syllable
• ão is a very common nasal sound in Portuguese
• it is not exactly like English ow

A rough learner-friendly version is:

• es-TAH̃W

The nasal sound is one of the trickier parts of Portuguese pronunciation, so it is normal if it takes practice.