Re: Health insurance with L permit (5 months)
If you haven't asked otherwise, it's quite common to get your bills every 3 months. They save cost this way, instead of sending it every month.
If you want to pay for 6 months in one go, or even for the whole year, you get a small reduction (5% of the total bill if you pay for all the year, 2.5% for 6 months).
Otherwise, health insurance doesn't come with an end date, no.