You can not make a tamagochi age faster. A baby tamagochi takes 1hour to evolve. A toddler takes 24 hours to evolve. A kid takes 24 hours to evolve. A teen takes 3 days to evolve, and a adult does not evolve.
I read that if you want to marry your tamagochi on you have to have seen that tamagochi at least 5 times then you can use a heart ring. But if you have seen them 4 or less times you have to use one gem ring.