Dommi, I suggest that you get it out of the pot that won't provide any drainage, as the roots should never
sit in water, & good drainage is an absolute must. (It's better to under-water Anthuriums, rather than to take the chance of over-watering & "smothering" the roots.)
I care for my Anthuriums as I do my Orchids. Although my Orchids are in lava rock or bark only, my Anthuriums are in very light soil. (Lots of lava rock with some Perlite in peat-based soil.)
The temperatures in your house are a bit cooler than I keep mine, but I honestly wouldn't expect Anthuriums to be too happy at temps as cool as 15*C (59*F), so you might have to keep your heat a little higher at night. If I'm not mistaken, they do need to be at least 70*F (21*C) in order to bloom.
Plastic pots aren't always very showy, but seem to be best for this type of plant
. You may want to work the little stones/chips into the soil when you re-pot it, as you're probably right in assuming that they were put there for appearance sake (but they do the plant no good, being at the top of the soil!)
I wasn't aware that Anthuriums could also live without
soil, until I saw some growing
on chunks of bark at a plant
store last winter!
I asked one of the clerks about it, & she said they do fine as long as they're kept moist (not "wet"), with the bark sitting in a container of pebbles in water. The bark draws the water up & the plant
's roots take in whatever they need.
I thought it was pretty cool, so I came home & divided my plant
& started the babies on pumice stone, with the roots held in place with twisty ties until they took hold.
They were fine for quite a while, but during the summer when the humidity was low, I forgot to keep an eye on the water level in the containers, & they got too dry & started looking sick. I decided that they'd be better in soil so I put them back into containers, where they revived & continue to grow.
By the way, welcome to the forum & good luck with your new plant
! Let us know how it comes along, won't you?