That is a beautiful deep pink! Google "Ellen Bousanquet" and see if that is what you have.

Peperomia something.

i think the leaves of yours are too large for o. delavayi. that one has leaf and flower of approx. the same size (very small). most species of these that i am familiar with are fall bloomers, except for x burkwoodii. o. fragrans and o. heterophyllus are probably the most frequently planted in the southeast and the difference in leaf form of juvenile and adult leaves may make it difficult to i.d. for the average gardener. i would just tell folk that "i have a tea olive shrub". :-)

If you are growing anything in a pot or container then all you want to use is "potting soil" - no garden soil, no planting compost. Potting soils have been formulated specifically for container culture and address the unique requirements of growing in containers. But not all potting soils are created equally - there are both good and bad products on the market, which is why the suggestion to make your own often comes up :-) How practical that is to do for a single plant is the question!! In general, you want a bark based potting soil (rather than just all peat, like Miracle Gro) that offers both a good textural component as well as durability, resulting in both fast drainage and adequate moisture retention. Something like the 5-1-1 mix often referred to in the Container Gardening forum. And you may want to change out your fertilizer as well. Dry organics - like the E.B. Stone - are not very efficient for containers. These need to be broken down into a plant usable form by soil organisms and there just aren't sufficient populations of soil organisms in any kind of potting soil to manage that well. No real "soil", no soil organisms :-)) A water soluble fertilizer will work much better. I use Dyna Gro's Liquid Grow but even Miracle Gro would work. The alternative is to apply a slow release fertilizer like Osmocote once at the beginning of the season. As to the ID, there's an awful lot of LFH that look like that. 'Rhapsody" is a possibility.