Can I both take-off as well as land at night?
No, you can only take off. If you read the CAA's website you must take off then fly around for 8 hours in your Cessna until official night is over.
Seriously, yes you can take off
and land at night. For carrying passengers after dark, you must have made x take off and landings at night within the last x days - 3/30 respectively I think. Technically, I don't think this rule applies for solo but I can't imagine a flight school would give you an aeroplane at night unless you had some sort of recency. I am happy to be corrected on any of my points since it is donkeys since I did my night rating and flew at night and am scraping the old memory. Personally, I think night flying in a light aircraft is great fun, though if an engine stopped perhaps I would revise my opinion very quickly.
Enjoy