Yes I believe that is correct.

Downtown is specifically for the area of a city that has a lot of shops and businesses. Downtown is not necessarily busy but it can be. I can't help with city centre since I'm Ameican. I believe it's the equivalent of downtown. I do not know of a word specifically for a busy area in a city. There might be one but I'm not sure. Describing an area as busy seems fine by itself.

There are many uses for "feel(s) like." 1. a. I feel like pizza for dinner./He feels like pizza for dinner. "Feel(s) like" can be used for a want for certain food in this case. 2. I feel like going out./He feels like going out. "Feel(s) like" can be used with a verb to say what you want to do. 3. I feel like garbage/He feels like garbage. "Feel(s) like" can be used to describe how you physically feel. (Being sick, anxious, having eaten too much, etc.) 4. I feel like I did the right thing./He feels like he did the right thing. "Feel(s) like" can be used with a sentence to state someone's impression or intuition. There are probably more examples, but that's what I could come up with for now. I hope that's helpful to understand how to use the phrase "feel(s) like."

日本語を勉強しています。よかったら、英語と日本語を一緒に話しませんか。

After finishing the meal, when we were walking in front of the front desk of the hotel, a staff member who took care of our troubles from the beginning greeted us and handed us the restaurant coupon card finally. We will be able to eat at the restaurant one or two times with this coupon card by the time we leave this hotel. Eating breakfast in this hotel on the last day may be a good idea. We got the room cleaning service today. The environment of our room is also getting better. Now, all we have to do is study for the final test tomorrow. As it was 1 o'clock when I went to sleep last night, I will probably become sleepy a little earlier today. One more day left, tomorrow is the last day of school!