1.How many times do you have to rotate eggs in an incubator and for how many days do you have to rotate them
There is no set number of times you need to turn them. A lot of people turn them three times a day and do well. If you want to turn more often you can, it won't hurt. More often is slightly better, but unless you are incubating a huge number of eggs you're not going to notice the difference.
The eggs need to be turned the first 14 days of incubation. After that they don't have to be turned but we usually go to day 18 so we can do everything to do with lockdown at one time.
2. For what exactly do people tilt eggs sometimes
There are two ways to turn eggs or position them for hatch. You can lay the egg flat and roll it over 180 degrees each time you turn them. Some automatic turners do it this way. You can stand them upright with the pointy side down and lean them to one side 45 degrees, then when you turn them lean them 45 degrees the other way. Either way works to turn them.
During hatch you can do the same thing, either lay them flat or stand them upright, just don't turn them.
3. I read that eggs can be refrigerated before being incubated so for how long can eggs be fertile in a fridge and out of a fridge untill they loose their fertility
The idea temperature to store eggs for incubation is around 55 degrees Fahrenheit. They also should be in high humidity. If you store them in ideal conditions they can stay fertile for two weeks or more. The further from the ideal conditions the faster they lose fertility. It's not like they go a certain number of hours and then all of a sudden every one is no longer fertile. The number gradually drops over time. Some eggs are a lot tougher than others.
Not all refrigerators are set at the same temperature. Some can even be warmer in certain locations inside. The closer they are to freezing in your fridge the less time they can spend in there and maintain good fertility. Outside of a fridge is not all the same temperature everywhere either. Some people may set the AC close to 70 F, some close to 80 F. Some don't have AC so the ambient temperature can be quite a bit higher. In both of these you can have pretty low humidity.
I'll repeat. The further you are away from ideal conditions the faster they lose hatchability. That can be different for each egg, it is not a set number for every egg.
You will sometimes read that you should not refrigerate eggs. You shouldn't either if it is set cool enough to keep your food safe, you should store them where it is 55 F. You shouldn't store them at room temperature either, unless your room temperature is 55 F. Very few of us have a place that is 55 F so we have to do the best we can. They just may not last as long. I store mine at a room temperature in the upper 70's, thermostat set at 78 F. Humidity is usually kind of low after the AC dries the air out. I can store mine for a week and still get good hatchability. I don't go more than a week.
I don't know what your conditions are. If your ambient temperatures are in the 80's or 90's your refrigerator may be the best place for your eggs. If your AC is set in the 70's Fahrenheit I would not refrigerate them. I don't know how long they will last either way, you'll need to try it to find out. And it's not that they all hatch or none hatch, the number that will hatch drops over time until it finally hits zero.