People usually don't fertilize cuttings because it makes it harder to take up water, so I would stop that. I would leave it in the band until the band is pretty well filed with roots. That's true of any transplanting, si you can get a sol9id root ball.

How long has it been potted? It could take several weeks for it to grow roots and you do not want to disturb it until it has a good healthy root ball. Once that happens I would pot it up to a 1 gallon pot and so on until it has enough size to plant in the ground. Just keep it watered and be patient.

has been in pot about a month. Should I see roots coming out bottom of pot and then transplant to larger pot? Pembroke

The rose will have visible roots in its own time. A month is a very short time for a good root system. 6-8 weeks is more typical. but I've had some take much longer.