ケンゾさん、こんにちは。Hi, Kenzo. My name is Kana, I was born in Japan but I have lived in Australia for almost 8 years. I love ramen and sushi, too. I am sure you can find nice food in New York City. By the way, I am going to answer your questions. 1. Your introduction sounds alright but there are some grammatical errors. Please see below to make your introduction grammatically correct and sounds more natural. おはようございます。（←Good morning is a sentence and you need to use a full stop here）私の名前はケンゾです。私は28歳で、(←when you simply adding information, combining two sentences into one sentence, you need to use て form) ニューヨーク市に住んでいます。ラーメンやすしを食べるのが好きです。(←As you use polite form,です・ます form, all sentences need to use polite form) 12月に日本語能力試験N５の試験を受けたいと思います。どうぞよろしく。(←This means “Pleased to meet you” and people use this sentence at the end of their self-introduction. If you want to use はじめまして, it is better to say it at the beginning of your self-introduction. So, you can start with はじめまして。私の名前はケンゾです。・・・・ ) 2. People tend to write はじめまして in Hiragana but if you want to use Kanji, it will be 初めまして。The Kanji you used in your introduction, 始める, means to start. 初めて means for the first time. In this case, you say はじめまして to people you meet for the first time and thus you need to use Kanji 初 instead of 始. I hope that answers your question. Cheers, Kana:)