I left out the following statements. Could you please if they are possible, please?

1) Oscar Wilde was a great novelist. Moreover/Furthermore/Further/ he wrote very funny comedies. Italy is wonderful. In addition, Italian people are very friendly.
2) This hotel is very big as well as (being) modern. Besides being modern./ Besides being modern, this hotel is very big. This hotel is very big in addition to being modern.
3) I like carrots. What’s more/On top of that, they are rich in vitamins.

1. Moreover and furthermore are OK, but "further" sounds awkward or something. Not quite right.

2. Delete "(being)" -- all the rest are fine.

3. OK

1) Oscar Wilde was a great novelist. Additionally, he wrote very funny comedies. Italy is wonderful. Moreover, Italian people are very friendly.

In both of these sentences, "moreover" and "furthermore" can be used to indicate an additional point or idea. Both words can simply be added after the first sentence to connect the two ideas together. Alternatively, you can also use "further" as a concise option to indicate an additional point.

2) This hotel is very big as well as (being) modern. Additionally, this hotel is very big. Besides being modern, this hotel is very big. This hotel is very big in addition to being modern.

In this example, "besides" and "in addition" can be used to connect the ideas of the hotel being big and modern. Both words can be placed at the beginning of the second sentence to connect it to the first one. Additionally, "besides" can also be used at the beginning of the sentence to indicate an alternative point.

3) I like carrots. What’s more, they are rich in vitamins. On top of that, they are rich in vitamins.

In this case, "what's more" and "on top of that" can be used to indicate an additional point or enhancement to the first sentence. Both phrases can be added at the beginning of the sentence to connect it to the previous one.