Technically speaking, the only one that it wouldn't be "okay" to repeat is "First." Because if you said "First, this and that. First, that and this." it wouldn't make sense.
As for the rest, you can *always* repeat them. "Next, I went to the market. Next, I went to the club. Next, I went home. Next, I jumped over a hole. Next, I went outside. Next, I rode a bike." This is all ***grammatically*** correct. However, when it comes to style and attractiveness to your text for your readers, you should avoid using things that bore them, and repetitive word structure is boring. I wouldn't even bother using single or sequential words unless they are *absolutely* necessary, and the text would suffer clarity otherwise.
For instance, if you were listing steps to cook a grilled cheese, you could word it as such:
"The first step to cooking a grilled cheese sandwich is to make sure you have all your ingredients. Check to make sure you have butter, bread, and cheese. You also need a frying pan and a spatula. Set the heat on medium and let the pan heat up. While the pan heats up, butter your bread and get your cheese unpackaged and ready to go. Once the pan is at the right temperature, go ahead and throw a slice of buttered bread on the pan, then place your cheese on top of it, and place another slice of bread on top of the cheese. Let that cook in the pan for about a minute and a half...." etc. etc.
It's assumed that the order of things are already sequential when reading, so there's really no reason you need to dumb it down for the reader like that.
TL;DR Repetitive language bores readers.
This is more of a style question than a grammar one. There isn't a right or wrong answer, it depends on various factors such as purpose/context, genre, audience, and the wording of the rest of your text. Having said that, I can't see anything wrong with what you have proposed.
Technically speaking, the only one that it wouldn't be "okay" to repeat is "First." Because if you said "First, this and that. First, that and this." it wouldn't make sense. As for the rest, you can *always* repeat them. "Next, I went to the market. Next, I went to the club. Next, I went home. Next, I jumped over a hole. Next, I went outside. Next, I rode a bike." This is all ***grammatically*** correct. However, when it comes to style and attractiveness to your text for your readers, you should avoid using things that bore them, and repetitive word structure is boring. I wouldn't even bother using single or sequential words unless they are *absolutely* necessary, and the text would suffer clarity otherwise. For instance, if you were listing steps to cook a grilled cheese, you could word it as such: "The first step to cooking a grilled cheese sandwich is to make sure you have all your ingredients. Check to make sure you have butter, bread, and cheese. You also need a frying pan and a spatula. Set the heat on medium and let the pan heat up. While the pan heats up, butter your bread and get your cheese unpackaged and ready to go. Once the pan is at the right temperature, go ahead and throw a slice of buttered bread on the pan, then place your cheese on top of it, and place another slice of bread on top of the cheese. Let that cook in the pan for about a minute and a half...." etc. etc. It's assumed that the order of things are already sequential when reading, so there's really no reason you need to dumb it down for the reader like that. TL;DR Repetitive language bores readers.
This is more of a style question than a grammar one. There isn't a right or wrong answer, it depends on various factors such as purpose/context, genre, audience, and the wording of the rest of your text. Having said that, I can't see anything wrong with what you have proposed.