Moja kuzynka woli długie kolczyki, a ja wolę małą bransoletkę.

Because kuzynka is a feminine noun, and the possessive my must agree with it in gender, number, and case.

So:

• mój = my, for a masculine singular noun
• moja = my, for a feminine singular noun
• moje = my, for a neuter singular noun or some plurals

Here, kuzynka means female cousin, so you need moja kuzynka.

Compare:

• mój kuzyn = my male cousin
• moja kuzynka = my female cousin

They mean different genders:

• kuzyn = male cousin
• kuzynka = female cousin

Polish often marks biological gender directly in the noun itself, more explicitly than English does.

So in this sentence, Moja kuzynka clearly tells you the cousin is female.

These are different forms of the verb woleć = to prefer.

Present tense:

• ja wolę = I prefer
• ty wolisz = you prefer
• on / ona / ono woli = he / she / it prefers
• my wolimy = we prefer
• wy wolicie = you all prefer
• oni / one wolą = they prefer

So:

• moja kuzynka woli = my cousin prefers
• ja wolę = I prefer

The ending changes depending on the subject.

Usually woleć takes the accusative case, because it is followed by the thing someone prefers.

So in this sentence:

• długie kolczyki is in the accusative
• małą bransoletkę is in the accusative

You can think of it like the direct object in English:

• She prefers long earrings
• I prefer a small bracelet

In Polish, that direct object is typically accusative.

Because kolczyki is plural, and the adjective has to agree with the noun.

• singular: długi kolczyk = a long earring
• plural: długie kolczyki = long earrings

Both words are plural here:

• długie = long, plural form
• kolczyki = earrings

Also, kolczyki is a non-masculine-personal plural noun, so in the accusative plural it looks the same as the nominative plural.

That is why you see długie kolczyki, not a different accusative form.

Because bransoletka is the object of wolę, so it must be in the accusative singular.

The dictionary form is:

• mała bransoletka = a small bracelet

But in the accusative singular feminine, both words change:

• małą bransoletkę

So:

• mała → małą
• bransoletka → bransoletkę

This is a very common pattern for feminine singular nouns and adjectives in the accusative.

Because they are different nouns in different number patterns.

1. kolczyki is plural

For many non-masculine-personal plural nouns, the accusative plural looks the same as the nominative plural.

So:

• nominative: długie kolczyki
• accusative: długie kolczyki

No visible change.

2. bransoletka is feminine singular

Feminine singular nouns usually change in the accusative.

So:

• nominative: mała bransoletka
• accusative: małą bransoletkę

So the difference is mostly about number and noun type.

Yes, you often could leave it out.

Polish usually drops subject pronouns when the verb ending already shows who the subject is. Since wolę already means I prefer, ja is not strictly necessary.

But ja is included here for contrast:

• Moja kuzynka prefers long earrings, and I prefer a small bracelet.

So a ja sounds natural because it highlights the difference between the cousin and the speaker.

Because a often connects two ideas with a contrast or comparison, while i usually just means a simple and.

Here the sentence contrasts two preferences:

• my cousin prefers one thing,
• I prefer another thing.

So a is a very natural choice:

• Moja kuzynka woli długie kolczyki, a ja wolę małą bransoletkę.

It is like:

• My cousin prefers long earrings, whereas I prefer a small bracelet.

Not a strong contradiction, just a contrast.

Not exactly.

• a = and / while / whereas, often for contrast
• ale = but

In this sentence, a is better because the two parts are being compared, not opposed in a strong but sense.

So:

• Moja kuzynka woli długie kolczyki, a ja wolę małą bransoletkę
  = My cousin prefers long earrings, while I prefer a small bracelet.

Using ale would sound more like a stronger contradiction.

Yes, Polish word order is fairly flexible, but changing it can affect emphasis.

The given sentence is neutral and natural:

• Moja kuzynka woli długie kolczyki, a ja wolę małą bransoletkę.

You could also say things like:

• Długie kolczyki woli moja kuzynka, a małą bransoletkę wolę ja.

This is grammatical, but much more emphatic or marked. It sounds like you are strongly highlighting who prefers what.

For everyday use, the original order is the best choice.

The letter ę is a nasal vowel, but in normal speech its pronunciation depends on position.

wolę

Usually pronounced roughly like vo-weh with a nasal quality at the end, though in everyday speech the nasal sound may be weaker than learners expect.

bransoletkę

At the end of the word, ę is often pronounced less nasally, sometimes almost like e in casual speech, though careful pronunciation keeps some nasal quality.

A few other useful pronunciation points in this sentence:

• w sounds like English v
• ł sounds like English w
• cz sounds like ch in chop

So:

• woli sounds roughly like vo-lee
• kolczyki sounds roughly like kol-CHI-ki
• bransoletkę sounds roughly like bran-so-LET-keh with Polish-style sounds

The dictionary forms are:

• bransoletka = bracelet
• kolczyk = earring

In the sentence:

• bransoletkę is the accusative singular form of bransoletka
• kolczyki is the plural form of kolczyk

So if you look these words up, you would normally search for:

• bransoletka
• kolczyk

Grammatically, kolczyki is simply plural, so it means earrings.

In real usage, that often implies a pair, just as English earrings usually does. But the Polish word itself is just the normal plural form.

Compare:

• kolczyk = earring
• kolczyki = earrings

Yes. In Polish, adjectives agree with the nouns they describe in:

• gender
• number
• case

That is why you get:

• moja kuzynka
• długie kolczyki
• małą bransoletkę

Each adjective changes form to match its noun.

This agreement system is one of the most important parts of Polish grammar.