This is my first question here, so please let me know if the formatting is not right!

I would like to ask about the professional, polite, and conservative way of making sure that my rights are preserved in my current situation:

I've been doing internship in a company for the summer. Now the internship has finished. The internship has turned out to be quite successful, and I have come up with a method that the company wants to patent.

My supervisor has asked me to set my end-date to 5 days after my last official day (determined by the contract) to wrap-up my work.

Now I have two questions:

1- Should I ask them if they are going to pay me for those 5 extra days for which I don't have a contract? Given, the fact that they might be willing to do so any ways and may get insulted by my questioning, what is the best way to ask it?

2- Should I ask them to put my name in the patent as well? If yes, what is a polite way for doing so. (Again, I don't want to insult them by asking if they really intend to do so themselves.)

One more thing to consider: they will almost surely offer me a position after my graduation (that is close), which I might consider. So, there may exist some future cooperations that I want to take into considerations.

Thanks!

I would like to ask about the professional, polite, and conservative way of making sure that my rights are preserved in my current situation. I've been doing a paid internship over the summer that is coming to a close. It turned out to be quite successful as I have come up with a method that the company wants to patent.

My supervisor has asked me to set my end-date to 5 days after my last official day (as originally determined by the contract) to wrap-up my work.

Now I have two questions:

1. Should I ask them if they are going to pay me for those 5 extra days for which I don't have a contract? Given that they might think it obvious and be insulted by my suggestion that they wouldn't if I ask, what is the best way to ask this?
2. Should I ask them to put my name in the patent as well? If yes, what is a polite way for doing so? Again, I don't want to insult them by asking if they already think it's obvious to do so.

One more thing to consider is that they will almost surely offer me a position after my upcoming graduation, which I might consider accepting. So, there may exist some future cooperation that I want to take into consideration.

This is my first question here, so please let me know if the formatting is not right!

I would like to ask about the professional, polite, and conservative way of making sure that my rights are preserved in my current situation:

I've been doing internship in a company for the summer. The internship has turned out to be quite successful. Now the internship has finished, and I have come up with a method that the company wants to patent.

My supervisor has asked me to set my end-date to 5 days after my last official day (determined by the contract) to wrap-up my work.

Now I have two questions:

1- Should I ask them if they are going to pay me for those 5 extra days for which I don't have a contract? Given, the fact that they might be willing to do so any ways and may get insulted by my questioning, what is the best way to ask it?

2- Should I ask them to put my name in the patent as well? If yes, what is a polite way for doing so.(Again, I don't want to insult them by asking if they really intend to do so themselves.)

One more thing to consider: they will almost surely offer me a position after my graduation (that is close), which I might consider. So, there may exist some future cooperations that I want to take into considerations.

Thanks!

This is my first question here, so please let me know if the formatting is not right!

I would like to ask about the professional, polite, and conservative way of making sure that my rights are preserved in my current situation:

I've been doing internship in a company for the summer. Now the internship has finished. The internship has turned out to be quite successful, and I have come up with a method that the company wants to patent.

My supervisor has asked me to set my end-date to 5 days after my last official day (determined by the contract) to wrap-up my work.

Now I have two questions:

1- Should I ask them if they are going to pay me for those 5 extra days for which I don't have a contract? Given, the fact that they might be willing to do so any ways and may get insulted by my questioning, what is the best way to ask it?

2- Should I ask them to put my name in the patent as well? If yes, what is a polite way for doing so.  (Again, I don't want to insult them by asking if they really intend to do so themselves.)

One more thing to consider: they will almost surely offer me a position after my graduation (that is close), which I might consider. So, there may exist some future cooperations that I want to take into considerations.

Thanks!