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If you have a south facing window for them, you can do without the grow light. I don't know how much your plants have spread, but buy containers that will be about an inch wider than your leaf spread. If that seems too wide, you can have part of the leaves overlap the edge of the pot. They do not like sitting in water, so be sure the pot drains well. When watering, wait till the soil is very dry before watering again. Lamb's ear is susceptible to root rot. Here is more:

https://www.gardeningknowhow.com/ornamental/flowers/lambs-ear/lambs-ear-plant.htm

They are easy to overwater, even outside. Are you going to plant it outside in the garden where it can spread? It's not really an indoor plant. You can keep it in a pot outside if you like, but then you really need to make sure you don't overwater, because in a pot, it's even harder for the soil to dry out.

I would plant it outside if possible. If you must keep it in a container, it wouldn't hurt to change out the soil if you've kept it moist. Lamb's ear likes it dry.

https://www.gardeningknowhow.com/ornamental/flowers/lambs-ear/lambs-ear-plant.htm

You are in hardiness zone 7a and lamb's ear is hardy to zone 4. So, technically, you could leave it in a pot all winter and it should regrow in spring. The rule of thumb is if the hardiness zone of the plant is 2 zones lower than yours, it should be able to withstand winter in a container. If you want to be on the safe side, you can plant it in the ground.

https://www.gardeningknowhow.com/ornamental/flowers/lambs-ear/lambs-ear-plant.htm

It's best to wait till spring because if you prune before winter's end, the plant is vulnerable to even more damage. The thought is that leaving the damaged foliage may protect against winter's snow and ice. But you can use your judgement as to when you think the worst of winter is over. A freeze could affect new growth, but snow generally protects plants from the harsh cold. If the new growth does die back, you should still get more new growth.

In the future, please do not put your email, here, to the public. I will remove it, this time.

It is hard to say from the photos. If there are snails and slugs in the area, then this could be an indication. They can leave a slime behind.

https://www.gardeningknowhow.com/plant-problems/pests/insects/organic-snail-control.htm

https://www.gardeningknowhow.com/plant-problems/pests/insects/kill-garden-slugs.htm

https://www.gardeningknowhow.com/ornamental/flowers/lambs-ear/lambs-ear-plant.htm

Yes. It can grow down to zone 4, so they will survive in container in your area. As a general rule, when you are growing in container, you will think of it as being one zone cooler than it actually is. In your area, you will pretend that you are in zone 5b in container.

https://www.gardeningknowhow.com/ornamental/flowers/lambs-ear/lambs-ear-plant.htm