Date format in formula

I am trying to set up a multiple conditional if statement.  Having trouble figuring out how to put a date for the script to check against.  Here is my code.

if 'Lead Student Type' = 2 and 'Enrolled Date' < date(10012023) then
    number('Enrolled Days') * number(33.333333333333336)
else
    if 'Lead Student Type' = 2 and 'Enrolled Date' > date(10012023) then
        number('Enrolled Days') * number(29.761904761904763)
    else
        if 'Lead Student Type' = 3 or 'Lead Student Type' = 4 then
            number('Enrolled Days') * number(35.357142857142854)
        end
    end
end

Also, I always seem to have difficulty doing multiple if statements.  Every time I try with any field I am doing it on, it only seems to pull up just 2 conditions and nothing beyond 2.  So, in the above instance, I want it to multiply a number against the amount of enrolled days, however to apply it 3 different ways.  The first, Lead Student Type=2 and Enrolled Date being before 10/01/2023, second, Lead Student Type=2 and Enrolled Date being after 10/01/2023, and third Lead Student Type being 3 or 4.