One day tour

One day would not be enough to really admire the attractions of this area, but we can try. (Alternative using "could": We could not really admire the attractions of this area in only one day.  Also, we "split" our infinitives quite often in English. "to admire" is split into "to <adverb> admire." This is very common. Italian makes more sense to state the verb in the infinitive and then modify that verb after with adverbs. It's just something to become familiar with in English. Also, conjunctions like "but" usually get a preceding comma.

If you enjoy getting up early, you should go to admire the sunrise by the sea and then take an hour to visit the harbour.

If you enjoy getting up early, you should go to admire the sunrise by the sea and then take an hour to visit the harbour. (harbor=American English. :)  )  We don't usually use the infinitive form in an imperative, or command, like "go admire."

If you are lucky you could be present at the return of fishing boats.

^perfetto

Then you can move at the city centre where there are a lot of shops and the traditional farming market.

Then you can move TO the city centre ... (Prepositions are a pain.)

For lunch you have to absolutely have a fish dishes in a typical fish restaurant, not matter which because all of these will be amazing.

For lunch you absolutely have to have a fish dish in a typical fish restaurant, no matter which one, because all of these will be amazing. (Absolutely would go in front of the first "have" for it to make the most sense.)

In the afternoon you could visit the ancient city that it is on the top of the city.

In the afternoon you could visit the ruins at the top of the city. (If they are ruins.) Or In the afternoon you could visit the ancient city at the top of the modern city.  (Something like that.)

There you can find the museum of the music, the white tower and a lot of ancient churches.

There you can find the music museum, the white tower and many ancient churches. ("a lot" is pretty informal, but O.K.) Also, we make compound nouns quite often in English, omitting "of the" in many cases.

You can choose a couple of these attractions to visit them.

You can visit a couple of these attractions when you visit. (Your sentence is fine, except for the "them" at the end.)

For the sunset you got to see the Sanctuary (period)  (Capital I)it is an example of astonishing architecture with an amazing overview. For dinner you could move on the inside towards the hills and taste the “Arrosticini”, a skewer of sheep meat,(period) (Capital I) it is delicious . I think that if you follow this guide you will have an enjoyable day.

^This is a wonderful piece of writing! You should be very proud. All of my suggestions are small. Very good job!!

Paul

One day tour

If you enjoy getting up early, you should go to admire the sunrise by the sea, and, then take an hour to visit the harbour. If you are lucky you could be present at the return of fishing boats. You might just be lucky enough to be there when the ships return. Then you can move at You can then move on to the city centre where there are a lot of shops and the a traditional farming market.  

For lunch you simply have to try the fish at a typical local restaurant. It doesn't matter which you pick (choose) they will all be amazing. you have to absolutely have a fish dishes in a typical fish restaurant, not matter which because all of these will be amazing.

In the afternoon you could visit the ancient city, at that it is on the top of the city. There you can find the mMuseum of the of mMusic, the wWhite tTower and a lot of ancient churches. You can choose a couple of these attractions to visit. them. For the sunset you got to see the Sanctuary, it is an astonishing architecture with an amazing overview. You should visit the Sanctuary for the best view of the sunset and the architecture is astonishing.

For dinner, you could move on the inside go in towards the hills and taste the “Arrosticini”, a skewer of sheep meat, a lamb skewer, it which is delicious . I think that if you follow this guide you will have an enjoyable day.