The FAA does not "convert" licenses unless they are issued by Transport Canada. The FAA will issue a private certificate based on a valid foreign private or higher license. The first step in that process is a paper shuffle between your CAA and the FAA to confirm you have a valid license. I have no idea what a LPR is. At the end of next month would you be able to go fly an airplane? If yes then you have a valid license and could get a FAA private with the ratings you hold on the foreign license. If you would not be able to fly after next month then there is no valid license to base your FAA certificate on.
The FAA also allows you to use a valid foreign commercial or ATP license to skip the requirement to hold a FAA commercial certificate to apply for the ATP. Again, it has to be valid. If you can't fly on it it doesn't count.
Hours are hours. One hundred hours night PIC cross country is one hundred hours night PIC X-C. Does not matter what the registration of the aircraft was.