Вряд ли мы быстро забудем этот курорт: даже шумный вентилятор в номере и слишком сильный загар теперь кажутся частью хорошего отдыха.

Вряд ли means hardly, unlikely, or I doubt that.

So Вряд ли мы быстро забудем этот курорт means something like:

• We’re unlikely to forget this resort quickly
• We probably won’t forget this resort anytime soon

A useful thing to remember is that вряд ли is a fixed expression. Learners sometimes try to translate it word by word, but it is best learned as one phrase.

Because вряд ли is simply the standard spelling of this expression: two words, not one.

The particle ли often appears after the word it relates to, but in вряд ли the whole phrase is idiomatic. You should memorize it as a unit:

• вряд ли он придёт
• вряд ли это возможно
• вряд ли мы забудем

Забудем is the 1st person plural future of the perfective verb забыть.

That is used because the sentence is talking about the result of forgetting: whether the resort will eventually be forgotten or not.

Compare:

• забудем = we will forget / we’ll end up forgetting
• будем забывать = we will be forgetting or we will tend to forget, which does not fit as naturally here

Since the idea is about a completed outcome, the perfective future is the natural choice.

Because курорт is the direct object of забудем, so it is in the accusative case.

For masculine inanimate nouns, the accusative looks the same as the nominative:

• nominative: этот курорт
• accusative: этот курорт

If it were a masculine animate noun, the form would change differently.

The colon introduces an explanation or justification of the first statement.

The structure is basically:

• We probably won’t forget this resort: here is why.

What follows explains why the resort is memorable: even the unpleasant details now seem like part of a good vacation.

So the colon works a lot like English punctuation in sentences such as:

• We won’t forget the place: even the noisy fan... now seems part of the experience.

Даже means even.

It highlights that the speaker is including things that would normally be negative:

• even the noisy fan in the room
• and the too-intense tan

In other words, not only the nice parts, but even the annoying or excessive parts now seem positive in retrospect.

В номере uses the prepositional case because в here means in in the sense of location.

• номер = room in a hotel context
• в номере = in the room

This is important because номер can also mean number, but here it clearly means hotel room.

Compare:

• в номере отеля = in the hotel room
• в номере журнала = in the issue of a magazine

Because the subject is compound:

• шумный вентилятор в номере
• и
• слишком сильный загар

These are two things together, so Russian uses the plural verb:

• кажутся = seem / appear

If there were only one subject, it would be singular:

• вентилятор кажется...
• загар кажется...

Because after казаться in the sense of to seem / to appear to be, Russian often uses the instrumental case for the noun that describes what something seems to be.

So:

• кажутся частью = seem to be part of...

This is a very common pattern:

• Он кажется хорошим человеком = He seems like a good person
• Это казалось ошибкой = It seemed like a mistake
• Они кажутся частью праздника = They seem like part of the celebration

So частью is instrumental singular of часть.

Because часть takes the genitive to show what whole something is a part of.

So:

• часть отдыха = part of the vacation/rest
• частью хорошего отдыха = part of a good vacation

Here:

• частью = instrumental, because of кажутся
• хорошего отдыха = genitive, because of часть

So two case relationships are happening at the same time.

Literally, it means too strong a tan.

In natural English, that could be:

• too much of a tan
• an overly deep tan
• a tan that was a bit too intense

It suggests the speaker got more sun than ideal. It does not necessarily mean a severe sunburn, though the idea is clearly slightly negative or excessive.

Теперь means now and shows a change in perspective.

The idea is:

• at the time, the noisy fan and the excessive tan may have seemed annoying
• now, looking back, they feel like part of a good vacation

So теперь gives the sentence a reflective, nostalgic tone.

Yes. Russian word order is flexible.

You could say:

• Вряд ли мы быстро забудем этот курорт
• Мы вряд ли быстро забудем этот курорт

Both are grammatical. Starting with вряд ли puts special emphasis on the speaker’s doubt right away. It sounds very natural and stylistically strong.

So the chosen order is not random: it helps set the tone of the sentence from the start.