Is it possible to configuration this features

two type of customer, normal customer and partner agency ?

normal customer can rent only 7 day,
partner agency can rent 1 day, 3 days or 7 days

Define price for diffrent period for 1 day, 3 days or 7 days rent

Dayly rent will be available from sunday to thursday (check in can only be at sunday, monday)
3 days rent from sunday to tuesday (check in can only be at sunday, monday, tuesday)
7 days rent from saturdays to fridays. (check in can only be at saturday)

In booking proces

Select country
Select place (drop down)
Pick up point write (text field for entry)
Date and time for pick up ( saturdays afternoon )
Rental period 24Hrs/3 days/1 week

Hello,

you can try Booking component for free. Just download it in Book it! download page

Booking has only 2 types of users: Customer and Admin. So it will be not possible to set.
You can only add there information for customers what rent they would use, but system will be not able to check it.

But there is some settings where you can set periods (single day, 3 days, weeks). You can also set when this period start etc.