Hi there, 1) At the height of: Being at a very advanced level or top of something. E.g. He was at the height of his career when we decided to quit. 2) The very idea You are very shocked by something or feel very disapproving of it. E.g I can't stand the very idea of you driving a motorbike. I have not heard of the last expression - perhaps someone else can assist you here.

Over budget or Under budget are not idiomatic expressions. Idiomatic expressions are informal English expressions, examples of this, using the verb budget would be "Champagne taste on a beer budget" meaning that you have expensive tastes that are beyond your financial means or "Shoestring budget" meaning you have a very small budget to work with. Over and Under are prefixes that can be attached to a verb like budget making the verb an adverb. To answer your question, yes you can say "Over budget" or "Under budget". For example "He went over budget this last month" or "He plans to come in under budget for the new car". I hope this help.

These days

I quitted my job recently because of moving to the UK.
When I was working, I couldn't see the sun shine, especially during a winter, this was because I departed departed my home early and left my work place late. Now I can go out anywhere, anytime that I like with while taking in the brightly sun shine. It seems nothing special, but for me, it's really happy thing.

I enjoy doing things that I couldn't do in when I was working. To bleach my hear, do my nails, walking around in a  the day time, and etc... Everyday, I'm really excited like  that I ask myself with such excitement "What can I do today?!".

Living in the UK would was not always be fun, so I'll enjoy and relax for the rest of the  my days in Japan. 

Notes: 

- No need to place an "and" before etc. Et means and, so therefore its redundant. If you used the synonym "so forth (or so on)" then you would add "and"  for example "He loves watching horror movies, romantic comedies, documentaries and so forth (or and so on). 

- Living in the UK would was not always be fun, so I'll enjoy and relax for the rest of the  my days in Japan. I am not sure if here you are meaning to say that you will now stay in Japan forever or while you are in Japan, as in visiting Japan? 

My resolution for this year - Correction please !

I think I could become more fluent in my 2nd language. So every year, I eagerly decide to improve my English but at the end of the year, I realize, that I have failed to do so. Yet, when the new year comes again, I choose the same new year's resolution, as the year before. This routine goes on for many years, which makes me become good at making the very same resolution and struggles, with no improvements. I repeat this over and over again. But it's OK, I'll do the same this year.

1/26 my diary (please improve)

When I woke up at 3:50am, it was very dark outside.

I felt very drowsiness because I had only slept for 3 hours. 

I worked very hard today.

And after finishing work, I went to the books shop.

There were a lot of books but But  since last week I had decided to buy the comic books.

So I bought just the one comic.

After that, I stopped by the cakes shop.

I enjoyed window shopping.

I thought if I had more money, I could buy all of the cakes on display.

I finally came home and wrote in my dairy. 

I feel so tired, that I'll be going to bed straight after I finish writing this.

A letter

Thank you for your response. With regards to your questions, I am currently living and working in Russia and do not have a work permit for Germany. I can however, easily relocate. 

As you can see from my CV, I have some knowledge and experience that suit to your position such as Jira, Java and working in a team. Of course, I do not know everything but I can learn very quickly and will not have a any problems adapting to your work processes.

The earliest starting date depends on the time needed to process the documents, required for relocation.

I am assuming that what you are wanting to say is that you do not have a working permit for Germany? 

I have more or less 50 sweets.

Yhogris the queen

Whether it was propitious or ominous I could not tell, yet I can proclaim, with absolute certainty, that it was the biggest upheaval I had ever encountered.

When I first woke up from the stupor, my head was throbbing like hell and I felt unsettled and confused. I was staring blankly at the surroundings, the weather sultry and humid and in front of me were tall and calloused trees, covered with lush foliage, pointing to the sky,  when I noticed the first living thing come into sight. It was a women with tan skin, like milk chocolate. Silently, she stood in front of me, her long, straight hair, cascading down her slim waist, her hair was an enchanting, silver in colour, it shimmered in the strong, tropical sunlight.

Her eyes too, where captivating, they were like two shiny carnelian crystals, filled with vigor and composure spontaneously. I gazed into her memorizing eyes, they had an almond shape and were moderate in size as I observed. She seemed irritated by my staring and opened her thick, luscious lips (You would not usually describe lips as being orchids). To my astonishment, she spoke fluent Rhenlean (I have not heard of this language,-is it a made up language for the purpose of your story?) language. "Who are you, intruder?" she questioned me sternly, her eyelashes flashing like two white butterflies.

I was out of any words was lost for words (This is the correct English saying) and on the verge of both fainting and exulting. I had never seen any woman so gorgeous  beautiful (beautiful would perhaps be a better adjective for your story, in my opinion)as herself.

I must admit, I thoroughly enjoy your stories, they very captivating.